Basic Electricity – Understanding Current, Voltage, Resistance, and Power


Basic Electricity

Basic electricity refers to the fundamental concepts of electric charge, current, voltage, and resistance. It explains how electric circuits work, how energy flows, and how components like wires, batteries, and switches interact in homes, schools, and industries.

 

What is Basic Electricity?

Basic electricity refers to the foundational principles that explain how electric energy is generated, transmitted, and used in circuits. When an electric current flows through a conductor, it creates a magnetic field (or “flux”) around it.

✅ Explains current, voltage, resistance, and power in simple terms

✅ Describes how electric circuits operate and transfer energy

✅ Essential for understanding household wiring, batteries, and switches

Understanding the fundamentals of voltage is essential for grasping how electric circuits function — see our full explanation of voltage.

The strength of this magnetic field increases when the conductor is shaped into a coil with multiple turns. In electrical engineering, this coiled conductor is known as an inductor. If a steady direct current (DC) flows through the coil, it forms an electromagnet—an object with magnetic properties that can be switched on and off using a basic electrical switch.

 

Basic Electrical Theory

There are four basic electrical quantities that we need to know:

  • Current

  • Potential Difference (Voltage)

  • Power

  • Resistance

 

Electrical Current

Current is the movement of electric charge through a conductor. Each electron carries a charge of 1.6 × 10⁻¹⁹ coulombs—too small to measure individually—so we measure charge in groups called coulombs. When 1 coulomb of charge passes through a point in a circuit per second, the current is  1 ampere (A). Electric current is measured in amperes and is essential to the functioning of all electrical systems. Learn how voltage drop affects electrical performance and safety in residential and industrial systems. You can estimate losses in long-distance wiring with our easy-to-use voltage drop calculator. For step-by-step guidance on circuit loss calculations, explore the voltage drop formula explained clearly.

 

Potential Difference

Voltage, or potential difference, refers to the energy per unit charge in a circuit. It represents the work each charge can perform. Think of voltage as the electrical pressure that pushes electrons through a conductor. Higher voltage means more potential energy available to do work, such as lighting a bulb or powering a motor.

 

Power in a Circuit

Electrical power is the rate at which energy is used or transferred in a circuit. It can be calculated using the formula:

Power (W) = Voltage (V) × Current (A)

This equation is fundamental in both residential and industrial applications, from estimating energy usage to designing electrical systems.

 

Electrical Resistant Behaviour

Resistance is the opposition to the flow of electric current. It determines how much current will flow for a given voltage. Materials like copper have low resistance and conduct electricity well, while materials like rubber have high resistance and are used as insulators. Learn how voltage drop affects electrical performance and safety in residential and industrial systems.

 

Electromagnetic Induction

There’s a reciprocal relationship between electric current and magnetism. When a magnet is moved past a conductor at a right angle, it induces a voltage in the conductor—a principle known as electromagnetic induction. The polarity of the induced voltage depends on the direction and orientation of the magnetic field.

This effect becomes more noticeable when the conductor is formed into a coil. As the north pole of the magnet passes the coil, voltage is induced, and current flows. When the south pole passes, the induced voltage reverses polarity, and the current changes direction. This principle is the foundation of generator operation. You can estimate losses in long-distance wiring with our easy-to-use voltage drop calculator.

 

The Generator and the Sine Wave

In an electric generator, coils placed on opposite sides of a rotating magnet generate alternating current (AC). These voltages combine, doubling the output. For example, a 120-volt, 60-Hz generator creates a wave that oscillates from +169.7V to -169.7V.

This wave is called a sine wave because the voltage at any point corresponds to the sine of the magnet’s angle of rotation. The cycle repeats 60 times per second in North America (60 Hz), creating the household AC power we are familiar with. For step-by-step guidance on circuit loss calculations, explore the voltage drop formula explained clearly.

 

Forms of Electricity: AC and DC

Electricity exists in two major forms:

  • Alternating Current (AC): The direction of current flow alternates regularly. AC electricity is used in power grids because it is easier to transmit over long distances and is compatible with devices such as transformers and capacitors.

  • Direct Current (DC): The current flows steadily in one direction. DC is commonly used inside electronics and battery-powered devices. Unlike AC, the voltage remains constant, making it easy to measure with a DC voltmeter.

 

AC – Alternating Current

Alternating current is the most common form of electricity used in homes, businesses, and utilities. It alternates direction 50–60 times per second, depending on the region. AC is generated by AC generators and is favored for its ability to change voltage levels easily, making it efficient for transmission over long distances. Sudden dips in power can disrupt equipment — find out what causes voltage sag and how to prevent it.

 

DC – Direct Current

Direct current flows continuously in one direction. Because its voltage is steady or changes very slowly, it’s easy to measure. It is used in battery-powered systems and internal electronic circuits. Unlike AC, DC cannot be easily stepped up or down in voltage without the use of complex circuitry.

When calculating AC power, engineers use RMS (Root Mean Square) voltage, which gives an effective value comparable to DC. For example, 120V AC RMS is equivalent in power to 120V DC, despite the AC waveform's variations. Discover how water and electricity interact, including safety considerations and risks in common environments.

 

Transformers and Induction

Transformers, built using coiled wires around iron cores, rely on electromagnetic induction. When AC flows through the primary coil, it creates a changing magnetic field that induces a voltage in the secondary coil. This allows voltage to be stepped up or down for different uses, such as high-voltage transmission or low-voltage device operation.

 

Atoms, Electrons, and Electric Charge

To fully grasp electricity, it’s essential to understand atomic structure. All matter is made up of atoms, which contain a nucleus of protons (positive) and neutrons (neutral), surrounded by orbiting electrons (negative). The outermost electrons—called valence electrons—can be knocked loose by energy, creating an electric current.

When electrons leave an atom, it becomes positively charged. This movement of charge is the essence of electricity. The ability of atoms to gain or lose electrons determines whether a material is a conductor (like copper) or an insulator (like plastic).

 

Electrical Charge and Attraction

One universal rule in electricity and magnetism is that like charges repel and opposite charges attract. A positively charged object will attract a negatively charged one. This principle governs everything from how circuits function to how magnetic fields interact with conductors. To understand how energy use is measured over time, read our overview of the watthour meter and its function.

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Voltage Drop Explained

Voltage drop occurs when electrical voltage decreases as current flows through a conductor. It can cause poor equipment performance, energy loss, and overheating. Discover how selecting the proper wire size and material can help minimize voltage drop in electrical systems.

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What is Voltage Drop?

Voltage drop (VD) is a common issue in electrical systems where the voltage (V) at the end of a circuit is lower than at the beginning due to resistance in the wiring.

✅ A decrease in V along a wire or circuit due to resistance or impedance

✅ Leads to reduced equipment performance and higher energy consumption

✅ Prevented by proper wire sizing, shorter runs, and low-resistance materials

 

Voltage Drop Definition

Voltage drop can lead to inefficient equipment operation or even failure. Solving electrical potential drop involves ensuring proper wire sizing, minimizing long-distance wiring runs, and using materials with lower resistance. Calculating the voltage drop for specific circuits and adjusting the installation accordingly helps maintain optimal performance and prevent power loss.

Any length or size of wires will have some resistance, and running a current through this dc resistance will cause the voltage to drop. As the length of the cable increases, so does its resistance and reactance increase in proportion. Hence, circuit V drop is particularly a problem with long cable runs, for example, in larger buildings or on larger properties such as farms. This technique is often used when properly sizing conductors in any single-phase, line-to-line electrical circuit. This can be measured with a voltage drop calculator.

Electrical cables have a carrying capacity of current that always presents inherent resistance, or impedance, to the flow of current. Voltage drop is measured as the amount of loss which occurs through all or part of a circuit due to what is called cable "impedance" in volts.

Too much resistance in wires, otherwise known as " excessive voltage drop ", in a cable's cross-sectional area can cause lights to flicker or burn dimly, heaters to heat poorly, and motors to run hotter than normal and burn out. This condition causes the load to work harder with less energy, pushing the current.

 

Voltage Drop per 100 Feet of Copper Wire (Single Phase, 60 Hz, 75°C, 120V Circuit)

(Values are approximate, in volts, for a 2% limit)

Wire Size (AWG) Max Current (Amps) Max Distance (Feet) Voltage Drop (at max distance)
14 15 50 2.4 V
12 20 60 2.4 V
10 30 80 2.4 V
8 40 100 2.4 V
6 55 130 2.4 V
4 70 160 2.4 V
2 95 200 2.4 V
1/0 125 250 2.4 V

 

Key Takeaways

  • Larger wires (lower AWG numbers) carry more current with less VD.

  • Longer distances require thicker wires to stay within VD limits.

  • A 2% VD is often used as a conservative design target in electrical systems.

 

How is this solved?

To decrease the voltage drop in a circuit, you need to increase the size (cross-section) of your conductors – this is done to lower the overall resistance of the cable length. Certainly, larger copper or aluminum cable sizes increase the cost, so it’s essential to calculate the voltage drop and determine the optimum wire size that will reduce voltage drop to safe levels while remaining cost-effective.

 

How do you calculate voltage drop?

Voltage drop refers to the loss of electricity that occurs when current flows through a resistance. The greater the resistance, the greater the voltage drop. To check the voltage drop, use a voltmeter connected between the points where the voltage drop is to be measured. In DC circuits and AC resistive circuits, the total of all the voltage drops across series-connected loads should add up to the V applied to the circuit (Figure 1).


 

Fig. 1. Measuring voltage drops across loads

Read our companion article Voltage Drop Calculator. For more information, see our article: Voltage Drop Formula.

Each load device must receive its rated power to operate properly. If not enough is available, the device will not operate as it should. You should always be certain that the V you are going to measure does not exceed the range of the voltmeter. This may be difficult if the V is unknown. If such is the case, you should always start with the highest range. Attempting to measure a V higher than the voltmeter can handle may cause damage to the voltmeter. At times you may be required to measure a V from a specific point in the circuit to ground or a common reference point (Figure 8-15). To do this, first connect the black common test probe of the voltmeter to the circuit ground or common. Then connect the red test probe to whatever point in the circuit you want to measure.

To accurately calculate the drop for a given cable size, length, and current, you need to accurately know the resistance of the type of cable you’re using. However, AS3000 outlines a simplified method that can be used.

The table below is taken from AS3000 electrical code, which specifies ‘Amps per %Vd‘ (amps per percentage VD) for each cable size.  To calculate the dop for a circuit as a percentage, multiply the current (amps) by the cable length (metres); then divide this Ohm number by the value in the table.

For example, a 30m run of 6 mm² cable carrying 3-phase 32A will result in a 1.5% drop: 32A × 30m = 960A / 615 = 1.5%.

Learn more about real-world voltage drop issues on our Voltage Dropping in Power Quality page.

 

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Understanding Current

Current is the flow of electric charge in circuits, defined by amperage, driven by voltage, limited by resistance, described by Ohm’s law, and fundamental to AC/DC power systems, loads, conductors, and electronic components.

 

Essential Guide to Current for Electricians

Current is best described as a flow of charge or that the charge is moving. Electrons in motion make up an electric current. This electric current is usually referred to as “current” or “current flow,” no matter how many electrons are moving. Current is a measurement of a rate at which a charge flows through some region of space or a conductor. The moving charges are the free electrons found in conductors, such as copper, silver, aluminum, and gold. The term “free electron” describes a condition in some atoms where the outer electrons are loosely bound to their parent atom. These loosely bound electrons can be easily motivated to move in a given direction when an external source, such as a battery, is applied to the circuit. These electrons are attracted to the positive terminal of the battery, while the negative terminal is the source of the electrons. The greater amount of charge moving through the conductor in a given amount of time translates into a current. For a concise overview of how moving charges create practical circuits, see this guide to current electricity for additional context.


 

The System International unit for current is the Ampere (A), where


 

That is, 1 ampere (A) of current is equivalent to 1 coulomb (C) of charge passing through a conductor in 1 second(s). One coulomb of charge equals 6.28 billion billion electrons. The symbol used to indicate current in formulas or on schematics is the capital letter “I.” To explore the formal definition, standards, and measurement practices, consult this explanation of the ampere for deeper detail.

When current flow is one direction, it is called direct current (DC). Later in the text, we will discuss the form of current that periodically oscillates back and forth within the circuit. The present discussion will only be concerned with the use of direct current. If you are working with batteries or electronic devices, you will encounter direct current (DC) in most basic circuits.

The velocity of the charge is actually an average velocity and is called drift velocity. To understand the idea of drift velocity, think of a conductor in which the charge carriers are free electrons. These electrons are always in a state of random motion similar to that of gas molecules. When a voltage is applied across the conductor, an electromotive force creates an electric field within the conductor and a current is established. The electrons do not move in a straight direction but undergo repeated collisions with other nearby atoms. These collisions usually knock other free electrons from their atoms, and these electrons move on toward the positive end of the conductor with an average velocity called the drift velocity, which is relatively a slow speed. To understand the nearly instantaneous speed of the effect of the current, it is helpful to visualize a long tube filled with steel balls as shown in Figure 10-37. It can be seen that a ball introduced in one end of the tube, which represents the conductor, will immediately cause a ball to be emitted at the opposite end of the tube. Thus, electric current can be viewed as instantaneous, even though it is the result of a relatively slow drift of electrons. For foundational concepts that connect drift velocity with circuit behavior, review this basic electricity primer to reinforce the fundamentals.

Current is also a physical quantity that can be measured and expressed numerically in amperes. Electric current can be compared to the flow of water in a pipe. It is measureda at the rate in which a charge flows past a certain point on a circuit. Current in a circuit can be measured if the quantity of charge "Q" passing through a cross section of a wire in a time "t" (time) can be measured. The current is simply the ratio of the quantity of charge and time. Understanding current and charge flow also clarifies how circuits deliver electrical energy to perform useful work.

 


 

Electrical current is essentially an electric charge in motion. It can take either the form of a sudden discharge of static electricity, such as a lightning bolt or a spark between your finger and a ground light switch plate. More commonly, though, when we speak of current, we mean the more controlled form of electricity from generators, batteries, solar cells or fuel cells.  A helpful overview of static, current, and related phenomena is available in this summary of electricity types for quick reference.

We can think of the flow of electrons in a wire as the flow of water in a pipe, except in this case, the pipe of water is always full. If the valve on the pipe is opened at one end to let water into the pipe, one doesn't have to wait for that water to make its way all the way to the other end of the pipe. We get water out the other end almost instantaneously because the incoming water pushes the water that's already in the pipe toward the end. This is what happens in the case of electrical current in a wire. The conduction electrons are already present in the wire; we just need to start pushing electrons in one end, and they start flowing at the other end instantly. In household power systems, that push on conduction electrons alternates in direction as alternating current (AC) drives the flow with a time-varying voltage.

 


 

Current Formula

Current is rate of flow of negatively-charged particles, called electrons, through a predetermined cross-sectional area in a conductor.

 Essentially, flow of electrons in an electric circuit leads to the establishment of current.

q = relatively charged electrons (C)

t = Time

Amp = C/sec

Often measured in milliamps, mA

 

 

 

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Windmills For Electricity Explained

Windmills for electricity use wind energy to generate clean, renewable power. These wind turbines convert kinetic energy into electrical energy, reducing carbon emissions and dependence on fossil fuels. 

 

What are Windmills for Electricity?

Windmills for electricity are modern devices that transform kinetic wind energy into electrical power.

✅ Harness renewable energy for clean power

✅ Reduce carbon footprint and dependence on fossil fuels

✅ Support sustainable power generation worldwide

Windmills for electricity are part of a broader shift toward renewable energy, providing clean alternatives to fossil fuels for homes, businesses, and utilities.

 

History of Windmills

Windmills for electricity - Mankind has been harnessing the wind's energy for many years. From Holland to traditional farms around the world, windmills were used in the past for pumping water through primitive irrigation systems or to grind grain. Then, the wind turned large "sails" that were connected by a long vertical shaft, which was attached to a grinding machine or a wheel that turned and drew water from a well. Today's turbines harness the energy of the wind to turn large metal blades, which in turn spin a generator that produces electric power. Alongside wind, other renewable energy sources like solar, biomass, and tidal energy are shaping a diversified and sustainable energy future.

From the mid-1970s to the mid-1980s, the United States government collaborated with industry to advance windmill technology for power generation and enable the development of large commercial wind turbines. NASA led this effort at the Lewis Research Center in Cleveland, Ohio, and it was an extraordinarily successful government research and development activity.

 

National Science Foundation

With funding from the National Science Foundation and later the Department of Energy (DOE), a total of 13 experimental wind turbines were put into operation, including four major wind turbine designs. This research and development program pioneered many of the multi-megawatt turbine technologies in use today, including steel tube towers, variable-speed generators, composite blade materials, partial-span pitch control, as well as aerodynamic, structural, and acoustic engineering design capabilities. The large Windmills For Electricity developed under this effort set several world records for diameter and power output. The Mod-2 wind turbine cluster produced a total of 7.5 megawatts of power in 1981. Government incentives, such as alternative energy tax credits, have played a major role in expanding wind power adoption across North America.

 

Wind Turbine Technology

In 1987, the Mod-5B was the largest single wind turbine operating in the world with a rotor diameter of nearly 100 meters and a rated power of 3.2 megawatts. It demonstrated an availability of 95 percent, an unparalleled level for a new first-unit wind turbine. The Mod-5B featured the first large-scale variable-speed drive train and a sectioned, two-blade rotor, which enabled easy transport of the blades.

Later, in the 1980s, California provided tax rebates for ecologically harmless wind turbines. These rebates helped fund the first major deployment of wind power for the utility grid. These turbines gathered in large wind parks such as at Altamont Pass, would be considered small and uneconomical by modern wind power development standards.

In the 1990s, as aesthetics and durability became more important, turbines were placed atop steel or reinforced concrete towers. Small generators are connected to the ground tower, and then the tower is raised into position. Larger generators are hoisted into position atop the tower, and a ladder or staircase is located inside the tower to allow technicians to reach and maintain the generator.

Originally, wind turbines were built right next to where their power was needed. With the availability of long-distance electric power transmission, wind generators are now often on wind farms in windy locations, and huge ones are being built offshore, sometimes transmitting power back to land using high-voltage submarine cable. Since wind turbines are a renewable means of generating power, they are being widely deployed, but their cost is often subsidized by taxpayers, either directly or through renewable energy credits. Much depends on the cost of alternative energy sources. The cost of wind generators per unit of power has been decreasing by about 4% per year.

 

Modern Wind Turbines

The most modern generations of Windmills for electricity are more properly called wind turbines, or wind generators, and are primarily used to generate electric power. Modern windmills are designed to harness the energy of the wind and convert it into electric energy. The largest wind turbines can generate up to 6 MW of power (for comparison, a modern fossil fuel power plant generates between 500 and 1,300 MW). Many large-scale renewable energy projects now combine wind farms with solar and storage systems, ensuring reliable, clean power for communities worldwide.

Small wind turbines can generate as little as a few kilowatts, while larger models produce up to 100 kilowatts or more, depending on design and location. These devices capture moving air, and as wind turbines operate, the kinetic energy generated can be used directly or sent into the electrical grid. On a utility scale, wind farms combine many large turbines to deliver massive amounts of energy, powering thousands of homes and businesses. This range of applications, from residential to industrial, demonstrates the versatility of wind technology in meeting diverse energy needs.

 

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Electrical Resistance Definition Explained

Electrical resistance definition explains how materials oppose current flow in circuits, measured in ohms, linked to voltage, resistivity, conductor geometry, temperature, and impedance, governed by Ohm's law and SI units in electronics.

 

Quick Reference: Electrical Resistance Definition

Electrical Resistance Definition: ER occurs in an electrical circuit when current-carrying charged particles collide with fixed particles that make up the structure of the conductors. Resistance is measured in ohm. Resistance is the ohm w. Resistance occurs in every part of a circuit, including wires and especially power transmission lines. For a concise overview, see this introduction to electrical resistance to reinforce key definitions.

Dissipation of electric energy in the form of heat affects the amount of driving voltage required to produce a given current through the circuit. In fact, volts are mesured across a circuit divided by the current I (amperes) through that circuit defines quantitatively the amount of electrical resistance R. The ohm is the common unit of electrical resistance, equivalent to one volt per ampere and represented by the capital Greek letter omega, Ω. The electrical resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor. For instance, the resistance of a conductor generally increases with increasing temperature the resistivity. This is why some conductors have almost zero resistance when cooled to extremely low temperatures, as is the case with superconductors, because of the relative resistivity of metals. There is a temperature coefficient of resistivity. If you need a refresher on potential difference and its role in circuits, review this explanation of voltage to connect the concepts.

Alternating-current resistors for current measurement require further design consideration. For example, if the resistor is to be used for current-transformer calibration, its ac resistance must be identical with its dc resistance within 1/100th% or better, and the applied voltage difference between its voltage terminals must be in phase with the current through it within a few tenths of a minute. Thin strips or tubes of resistance material are used to limit eddy currents and minimize "skin" effect, the current circuit must be arranged to have small self-inductance, and the leads from the voltage taps to the potential terminals should be arranged so that, as nearly as possible, the mutual inductance between the voltage and current circuits opposes and cancels the effect of the self-inductance of the current circuit. In (a) a metal strip has been folded into a very narrow U; in (b) the current circuit consists of coaxial tubes soldered together at one end to terminal blocks at the other end; in (c) a straight tube is used as the current circuit, and the potential leads are snugly fitting coaxial tubes soldered to the resistor tube at the desired separation and terminating at the center. These design choices are also easier to contextualize by comparing common types of resistors used for precise AC measurements.

Electrical Resistance coils consist of insulated resistance copper wire wound on a bobbin or winding form, hard-soldered at the ends to copper terminal wires. Metal tubes are widely used as winding form for dc resistors because they dissipate heat more readily than insulating bobbins, but if the resistor is to be used in ac measurements, a ceramic winding form is greatly to be preferred because it contributes less to the phase-defect angle of the resistor. The resistance wire ordinarily is folded into a narrow loop and wound bifilar onto the form to minimize inductance. This construction results in considerable associated capacitance of high-resistance coils, for which the wire is quite long, and an alternative construction is to wind the coil inductively on a thin mica or plastic card. The capacitive effect is greatly reduced, and the inductance is still quite small if the card is thin. When specifying coil assemblies, it helps to recall the standardized unit of electrical resistance so ratings and tolerances are interpreted consistently.

Resistors in which the wire forms the warp of a woven ribbon have lower time constants than either the simple bifilar- or card-wound types. Manganin is the resistance material most generally employed, but Evanohm and similar alloys are beginning to be extensively used for very high resistance coils. Enamel or silk is used to insulate the wire, and the finished coil is ordinarily coated with shellac or varnish to protect the wire from the atmosphere. Such coatings do not completely exclude moisture, and dimensional changes of insulation with humidity will result in small resistance changes, particularly in high resistances where fine wire is used. Material behavior, moisture effects, and long term stability are discussed further in this broader overview of electrical resistance for additional context.

Electrical Resistance boxes usually have two to four decades of resistance so that with reasonable precision they cover a considerable range of resistance, adjustable in small steps. For convenience of connection, terminals of the individual resistors are brought to copper blocks or studs, which are connected into the circuit by means of plugs or of dial switches using rotary laminated brushes; clean, well-fitted plugs probably have lower resistance than dial switches but are much less convenient to use. The residual inductance of decade groups of coils due to switch wiring, and the capacitance of connected but inactive coils, will probably exceed the residuals of the coils themselves, and it is to be expected that the time constant of an assembly of coils in a decade box will be considerably greater than that of the individual coils. Understanding how series and parallel combinations set the equivalent resistance will inform how decade boxes are deployed in complex networks.

Measurement of resistance is accomplished by a variety of methods, depending on the magnitude of the resistor and the accuracy required. Over the range from a few ohms to a megohm or more, an ohmmeter may be used for an accuracy of a few percent. A simple ohmmeter may consist of a milliammeter, dry cell, and resistor in a series circuit, the instrument scale being marked in resistance units, if you obey ohm law. For a better value, the voltage drop is measured across the resistor for a measured or known current through it. Here, accuracy is limited by the instrument scales unless a potentiometer is used for the current and voltage measurements. The approach is also taken in the wide variety of digital multimeters now in common use. Their manufacturers' specifications indicate a range of accuracies from a few percent to 10 ppm (0.001%) or better from the simplest to the most precise meters. Bridge methods can have the highest accuracy, both because they are null methods in which two or more ratios can be brought to equality and because the measurements can be made by comparison with accurately known standards. For two-terminal resistors, a Wheatstone bridge can be used; for four-terminal measurements, a Kelvin bridge or a current comparator bridge can be used. Bridges for either two- or four-terminal measurements also may be based on resistive dividers. Because of their extremely high input impedance, digital voltmeters that be used with standard resistors in unbalanced bridge circuits of high accuracy. For quick reference during test planning, the fundamental resistance formula clarifies how R, V, and I are related under Ohm law.

Digital multi meters are frequently used to make low-power measurements of resistors in the range between a few ohms and a hundred megohms or so. Resolution of such instruments varies from 1% of full scale to a part per million of full scale. These meters generally use a constant-current source with a known current controlled by comparing the voltage drop on an internal "standard" resistor to the EMF produced by a Zener diode. The current is set at such a level as to make the meter direct-reading in terms of the displayed voltage; that is, the number displayed by the meter reflects the voltage drop across the resistor, but the decimal point is moved and the scale descriptor is displayed as appropriate. Multimeters typically use three or more fixed currents and several voltage ranges to produce seven or more decade ranges with the full-scale reading from 1.4 to 3.9 times the range. For example, on the 1000-0 range, full scale may be 3,999.999 Q. Power dissipated in the measured resistor generally does not exceed 30 mW and reaches that level only in the lowest ranges where resistors are usually designed to handle many times that power. The most accurate multimeters have a resolution of 1 to 10 ppm of range on all ranges above the 10-0 range. Their sensitivity, linearity, and short-term stability make it possible to compare nominally equal resistors by substitution with an uncertainty 2 to 3 times the least count of the meter. This permits their use in making very accurate measurements, up to 10 ppm, or resistors whose values are close to those of standards at hand. Many less expensive multimeters have only two leads or terminals to use to make measurements. In those cases, the leads from the meter to the resistor to be measured become part of the measured

 

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Harmonic Distortion

Harmonic distortion is the deviation from the ideal electrical waveform caused by nonlinear loads. It impacts power quality, increases heat in equipment, and can lead to system inefficiencies. Monitoring and mitigation are essential in industrial electrical systems.

 

What is Harmonic Distortion?

Harmonic distortion is not a new phenomenon in power systems. Concern over distortion has fluctuated several times throughout the history of AC electric power systems.

✅ Reduces overall power quality and system reliability

✅ Can damage equipment and increase heat generation

✅ Requires monitoring to ensure system efficiency and safety

In the 1930s and 1940s, the primary sources were transformers, with the primary problem being inductive interference with open-wire telephone systems. Early arc lighting caused similar concern due to its harmonic content, just as today’s electronic power converters do.

Today, nonlinear devices like variable frequency drives (VFDs), arc furnaces, computer power supplies, and LED lighting introduce significant harmonic distortion into electrical systems. Nonlinear devices do not draw current in a linear relationship to voltage, which distorts the sinusoidal waveform and introduces harmonic currents. Harmonic distortion is one of the many issues covered in our comprehensive Power Quality resource channel, which explores causes, effects, and solutions.

 

Why It Matters

  • Harmonics degrade power quality

  • Increase energy losses and heat in conductors and transformers

  • Lead to premature failure of motors and sensitive electronics

  • Interfere with communication lines

In contrast, voltage sags and interruptions are nearly universal to every feeder and represent the most numerous and significant power quality deviations. The end-user sector suffers more from harmonic problems than the utility sector. Industrial users with adjustable speed drives, arc furnaces, induction furnaces, and similar equipment are significantly more susceptible to problems caused by harmonic distortion. To understand the relationship between harmonics and apparent energy flow, see our explanation of Apparent Power vs Real Power.

A good assumption for most utilities in the United States is that the sine wave voltage generated in central power stations is very good. In most areas, the voltage found on transmission systems typically has much less than 1% distortion. However, the distortion increases as the load approaches. At some loads, the current waveforms barely resemble a sine wave. Electronic power converters can chop the current into seemingly arbitrary waveforms. Managing nonlinear loads often requires Power Factor Correction to reduce harmonic effects and improve efficiency.

 

Industry Standards

  • IEEE 519: Sets recommended harmonic limits for both voltage and current.

  • IEC 61000-4-7: Defines methods of measuring harmonics and interharmonics.

 

Harmonic Distortion and Nonlinear Devices

Harmonic distortion is caused by nonlinear devices in the power system. A nonlinear device is one in which the current is not proportional to the applied voltage. Figure 1 illustrates this concept using the case of a sinusoidal voltage applied to a simple nonlinear resistor, where the voltage and current vary according to the curve shown. While the applied voltage is perfectly sinusoidal, the resulting current is distorted. Increasing the voltage by a few percent may cause the current to double and exhibit a different waveform. You can calculate your system’s power quality impact using our Apparent Power Calculator for precise performance metrics.

This is the source of most harmonic distortion in a power system. Figure 1 illustrates that any periodic, distorted waveform can be expressed as a sum of sinusoids. When a waveform is ideal from one cycle to the next, it can be represented as a sum of pure sine waves in which the frequency of each sinusoid is an integer multiple of the fundamental frequency of the distorted wave. This multiple is called a harmonic of the fundamental, hence the name of this subject matter. The sum of sinusoids is referred to as a Fourier series, named after the great mathematician who discovered the concept. Nonlinear loads like VFDs and arc furnaces can affect grounding; learn more in our guide to Electrical Grounding.

 


 

Fig. 1. Current distortion caused by nonlinear resistance

 

Voltage and Current Distortion

The term "harmonics" is often used by itself without further qualification. Generally, it could mean one of the following three:

  1. The harmonic voltages are too great (the voltage is too distorted) for the control to properly determine firing angles.

  2. The harmonic currents are too great for the capacity of some devices in the power supply system, such as transformers, and the machine must be operated at a lower than rated power.

  3. The harmonic voltages are too great because the harmonic currents produced by the device are too great for the given system condition.

Clearly, there are separate causes and effects for voltages and currents, as well as some relationship between them. Thus, the term harmonics by itself is inadequate to describe a problem definitively. Nonlinear loads appear to be sources of harmonic current, injecting harmonic currents into the power system. For nearly all analyses, it is sufficient to treat these harmonic-producing loads simply as current sources. There are exceptions to this as described later.

 


 

Fig 2. Harmonic currents flowing through the system impedance result in harmonic voltages at the load.

Voltage distortion is the result of distorted currents passing through the linear, series impedance of the power delivery system, as illustrated in Fig. 2. Although assuming that the source bus is ultimately a pure sinusoid, there is a nonlinear load that draws a distorted current. The harmonic currents passing through the system's impedance cause a voltage drop for each harmonic. This results in voltage harmonics appearing at the load bus. The amount of voltage distortion depends on the impedance and the current. Assuming the load bus distortion stays within reasonable limits (e.g., less than 5%), the amount of harmonic current produced by the load is generally constant.

While the load current harmonics ultimately cause voltage distortion, it is worth noting that the load has no control over the voltage distortion. The same load put in two different locations on the power system will result in two different voltage distortion values. Recognition of this fact is the basis for the division of responsibilities for harmonic control that is found in standards such as IEEE Std 519-1992.

  • Control over the amount of harmonic current injected into the system occurs at the end-use application.

  • Assuming the harmonic current injection is within reasonable limits, the control over voltage distortion is exercised by the entity that controls the system impedance, typically the utility.

One must be careful when describing harmonic distortion phenomena, as there are distinct differences between the causes and effects of harmonic voltages and currents. The use of the term harmonics should be qualified accordingly. By popular convention in the power industry, the term is used by itself most of the time when referring to load apparatus, indicating that the speaker is referring to the harmonic currents. When referring to the utility system, the voltages are generally the subject. For systems affected by harmonic-induced overheating, understanding Capacitor Bank applications is essential for voltage support and harmonic filtering. For in-depth harmonic analysis, explore our guide to using a Power Quality Analyzer to identify waveform distortion and power anomalies.

 

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Electricity Grid - T&D

Electricity grid infrastructure delivers power through transmission lines, substations, and smart grid controls, balancing voltage and frequency, integrating renewable energy, enabling demand response, improving reliability, and supporting utilities with real-time monitoring and load management.

 

Electricity Grid: Real-World Examples and Uses

The electricity grid is a complex and essential component of modern society. It provides the power necessary to operate homes, businesses, and industries, and it is constantly evolving to meet the demands of a changing world. From power generation to distribution, transmission lines to load balancing and renewable energy integration, every component is critical in ensuring we can access reliable and affordable energy whenever needed. For a broader primer, resources such as electric power systems outline how these elements interconnect in practice.

At its core, the grid is a system that connects power generation facilities to consumers through transmission lines and distribution systems. It is designed to move electricity from where it is generated to where it is needed, whether in a residential home or a large industrial facility. The term "grid" refers to the interconnectedness of these systems, which allows power to flow from one location to another as needed. The federal energy regulatory commission ferc regulates the grid.

In North America, the transmission and distribution (T&D) grid is managed by federal, state, provincial, and territorial agencies. The grid is divided into various regions, each with its grid operator responsible for ensuring reliable and efficient operation within their respective jurisdiction. For instance, Canada's power delivery network is divided into four main regions: Western Canada, Ontario, Quebec, and the Atlantic region. Similarly, the United States' electricity grid is divided into three major interconnected systems: the Eastern Interconnection, Western Interconnection, and the Electric Reliability Council of Texas (ERCOT) system. Each region's grid operator works closely with neighbouring grid operators to ensure a seamless flow of electrical power across the interconnected grid, even during periods of high demand or unexpected outages.

The power delivery network can be broken down into three main components: power generation, transmission, and distribution. Power generation facilities can take many forms, including coal-fired, natural gas, nuclear, and renewable energy sources such as wind and solar. These facilities generate electrical power transmitted over high-voltage transmission lines to substations, where the voltage is lowered for distribution to homes and businesses through a network of distribution lines. For those new to supply technologies, overviews of how electricity is generated cover conventional and renewable pathways.

Transmission lines are a critical component of the T&D system, which deliver and produce electricity at higher voltages. T&D provides the means to move large amounts of electrical power over long distances. These lines are typically made of high-strength steel or aluminum and span hundreds of miles. They are also designed to be highly resilient to extreme weather events such as hurricanes, tornadoes, and ice storms. Understanding ratings, capacity, and losses draws on electricity power fundamentals that inform planning and operations.

The distribution system is the final component of the power grid, responsible for delivering electrical power directly to homes and businesses. This system includes transformers, power lines, and meters, which work together to regulate power flow to individual consumers. The distribution system also includes local power generation facilities, such as rooftop solar panels and small-scale wind turbines, which can supplement the power provided by the grid. To see how fuel mixes influence local grids, summaries of sources of electricity highlight regional differences.

As the world increasingly relies on electrical power, there is a growing need to modernize and upgrade the power delivery network to meet the demands of the 21st century. One approach to this is the development of a smart grid, which uses advanced sensors, communication networks, and analytics to optimize the flow of power and improve reliability. Another approach is the integration of renewable energy sources such as wind and solar into the grid, which can reduce greenhouse gas emissions and improve grid resilience. Advanced planning and forecasting increasingly leverage power system analysis to evaluate contingencies and optimize investments.

Load balancing is another critical function, ensuring that real-time power generation and consumption are matched. This is accomplished through a combination of forecasting, automated control systems, and energy storage facilities such as batteries and pumped hydroelectric storage. In flexible markets, insights into electricity generation help operators schedule resources effectively.

Reliability and resilience are also crucial factors in its overall performance. The grid must be designed to withstand extreme weather events and other disruptions, such as cyberattacks or equipment failures. This requires a combination of robust engineering and effective emergency response planning.

 

What is an electricity grid, and how does it work?

A T&D system is a complex network of power generation facilities, transmission lines, and distribution systems that work together to ensure reliable and affordable energy is available to consumers. At its core, the grid is a system that connects power generation facilities to consumers through transmission lines and distribution systems. It is designed to move electrical power from where it is generated to where it is needed, whether in a residential home or a large industrial facility. The grid uses high-voltage transmission lines to move electrical power over long distances, then lowers the voltage through transformers for distribution to homes and businesses. For foundational clarity, a concise explainer on what electricity is helps connect basic concepts to grid operations.


What is the difference between the transmission and distribution systems?

The transmission system is responsible for moving large amounts of electrical power over long distances at high voltages. This is accomplished through a network of high-voltage transmission lines and substations spanning hundreds of miles. The distribution system delivers electrical power directly to homes and businesses at lower voltages. This system includes transformers, power lines, and meters, which work together to regulate the flow of electricity to individual consumers.


How is renewable energy integrated?

Renewable energy sources such as wind and solar are integrated into the T&D system through a process called interconnection. This involves connecting the renewable energy source to the grid through a substation and transformer, ensuring that the energy generated can be transmitted to consumers. Renewable energy sources can also be connected to the grid through distributed generation, where energy is generated on-site at the point of consumption, such as through rooftop solar panels.


What are the challenges associated with maintaining the reliability and resilience of the T&D system?

Maintaining reliability and resilience is a complex task requiring robust engineering and effective emergency response planning. Some of the challenges associated with this include extreme weather events, cyberattacks, equipment failures, and natural disasters. In addition, as the grid becomes more reliant on renewable energy sources, new challenges may arise related to load balancing and energy storage.


What is a smart grid, and how does it differ from a traditional T&D system?

A smart grid is a modernized version of the traditional T&D system that uses advanced sensors, communication networks, and analytics to optimize the flow of electrical power and improve reliability. Unlike a traditional T&D system, designed to move electrical power from power plants to consumers, a smart grid enables two-way communication between consumers and the grid. This allows for greater control and flexibility in managing energy usage and improved efficiency and reliability.


How can energy storage be used to support the T&D system?

Energy storage can be used to support the T&D system in several ways. One essential function is to provide backup power in the event of a blackout or other disruption to the grid. Energy storage can also help balance the load on the grid, ensuring that power generation and consumption are matched in real-time. In addition, energy storage can help integrate renewable energy sources into the grid by storing excess energy for use during times of low generation.


What is grid modernization, and why is it important for the future of the T&D system?

Grid modernization refers to upgrading and improving the T&D system to meet the demands of a changing world. This may involve the development of a smart grid, the integration of renewable energy sources, and the deployment of advanced sensors and control systems. Grid modernization is important for the future of the T&D system because it will enable greater efficiency, reliability, and sustainability while ensuring that the grid is resilient to emerging threats and challenges.

 

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