Faraday's Law Explained

By R.W. Hurst, Editor


Faraday’s Law describes electromagnetic induction, where changing magnetic fields generate electricity. Discovered in 1831 by Michael Faraday, it revealed how magnetism produces electric current and became the foundation of modern electrical science.

 

What is Faraday’s Law?

Faraday's Law is a fundamental principle of electromagnetism describing how a changing magnetic field induces an electromotive force (emf) in a conductor. The law: 

✅ Explains electromagnetic induction and induced current

✅ Is essential for transformers, generators, and electric motors

✅ Is the foundation of modern physics and electrical engineering

For a deeper look at the mathematics, mechanisms, and engineering uses, see our detailed guide on Faraday’s Law of Induction."

 

Michael Faraday, the Inventor of Faraday’s Law

In 1831, Michael Faraday performed experiments with coils of wire, magnets, and galvanometers. He observed that when a magnet was moved through a coil, or when the magnetic field around the coil was changed, a current was generated.

Faraday’s Law proved that electricity could be produced directly from magnetism — a revolutionary concept at the time. Faraday’s experiments were deceptively simple but profoundly important, showing that energy could be converted from one form (mechanical motion of the magnet) into another (electric current). 

 

 

Theoretical Context

Faraday’s Law provided one of the first clear demonstrations that electricity and magnetism are not separate forces but part of the same phenomenon. This insight was later formalized by James Clerk Maxwell, whose Maxwell’s equations mathematically unified electromagnetism.

Alongside Ampère’s Law and the Biot–Savart Law, Faraday’s Law gave scientists a new framework to describe the invisible forces of nature. It also introduced the idea of fields, regions of influence surrounding magnets and electrical charges, which became central to modern physics. Read our article titled: Who Invented Electricity for more information about the foundation of electricity.

 

Understanding Electromagnetic Induction

Faraday’s Law showed that induction can occur in several ways:

  • By moving a conductor through a magnetic field

  • By changing the strength of a magnetic field

  • By altering the orientation or size of the conductor’s loop in the field

In each case, the result is the same: a changing magnetic flux produces an EMF. The direction of the induced current is explained by Lenz’s Law, which states that the induced current always opposes the change that created it, ensuring energy conservation.

The principle of electromagnetic induction is the basis for the operation of various electrical devices, including:

  • Generators: These devices convert mechanical energy into electrical energy by rotating a coil within a magnetic field, causing the magnetic flux to change and inducing an EMF in the coil.

  • Transformers: Transformers work on the principle of mutual induction, where a changing current in the primary coil produces a varying magnetic field, which in turn induces an EMF in the secondary coil.

  • Induction motors: In these motors, a changing magnetic field is created by the stator, inducing an EMF in the rotor conductors, which generates a current that interacts with the magnetic field to produce torque and drive the motor.

 

Coils, Flux, and Electrodynamics

Faraday’s induction experiments showed that the induced voltage in a coil is equal to the rate of change of magnetic flux through it. This relationship depends on several factors, including the magnetic field strength, the loop area, and the number of turns in the coil. In fact, the induced EMF is proportional to the rate at which a coil of wire cuts across magnetic field lines, meaning that more turns in the coil increase the overall flux linkage.

From the perspective of electrodynamics, this effect illustrates how charges respond to forces within a conductor. The Lorentz force explains why electrons move when exposed to a changing field, while a time-varying field generates a non-conservative electric field that sustains induction. These principles are embedded in the Maxwell–Faraday equation, which extends Faraday’s insight into the framework of Maxwell’s equations.

Faraday also noted that induction is not limited to mutual coupling between separate coils. The principle of self-induction arises when a coil’s own changing current produces an induced EMF opposing the original change. This phenomenon became central to the design of inductors and transformers.

Ultimately, the legacy of Faraday’s Law extends to our understanding of electromagnetic waves. By linking induction with Maxwell’s field theory, Faraday’s Law explains how time-varying fields generate waves that propagate through space — a concept that underpins modern communications and physics.

 

Why Faraday’s Law Mattered

At the time of its discovery, electricity was known mainly from batteries and static experiments. Faraday’s Law proved that electricity could be generated in continuous and controlled ways. This breakthrough opened the door to inventions that would transform society, from power generation to communication technologies.

 

Everyday Applications of Faraday’s Law

The importance of Faraday’s Law extends far beyond the laboratory. It forms the basis of countless technologies, including:

  • Electric generators – converting mechanical energy into electrical power.

  • Transformers – enabling efficient power transmission over long distances.

  • Induction motors – powering everything from industrial machines to household appliances.

  • Wireless charging systems – transferring energy without physical connections.

  • Magnetic storage and security – used in swipe cards and sensors.

  • Induction heating and cooktops – converting magnetic energy into heat for practical use.

  • Eddy current braking – providing non-contact braking in trains, amusement rides, and industrial systems by inducing currents that resist motion.

  • Inductors in circuits – storing energy in magnetic fields and controlling current in electrical systems.

  • Wireless energy transfer in EVs – enabling electric vehicles to charge without plugs using electromagnetic induction.

These applications show how Faraday’s 19th-century experiments continue to power the 21st-century world.

 

Faraday’s Legacy

Faraday’s Law was not just a scientific milestone but also a turning point for technology and industry. Without his insights, there would be no electric power grids, no telecommunications as we know them, and no modern electronics.

The law also highlighted an important principle: that simple experiments can lead to world-changing insights. With little formal education, Faraday reshaped science and technology, showing that careful observation and curiosity could unlock nature’s secrets.

Faraday’s Law remains one of the most important discoveries in physics. By revealing that changing magnetic fields could create electricity, it provided the foundation for modern electrical engineering, industrial power systems, and everyday devices.

Faraday’s Law stands as a reminder that the forces of nature — magnetism, electricity, and motion — are deeply interconnected. Faraday’s insight into electromagnetic induction continues to shape the modern world, demonstrating that a discovery made nearly two centuries ago remains a vital force in our lives today.

 

Frequently Asked Questions

 

What did Faraday’s Law prove?

Faraday’s experiments with coils and magnets in 1831 proved that a changing magnetic field can induce an electromotive force (EMF) in a conductor. This showed that electricity can be generated from magnetism, a discovery that revolutionized science and technology.

 

Why is Faraday’s Law important today?

Faraday’s Law is the foundation of electrical power generation and transmission. It explains how generators, transformers, and induction motors work, making it essential to modern energy systems, communication technologies, and countless everyday devices.

 

How does Faraday’s Law relate to Maxwell’s equations?

Faraday’s Law was later formalized in Maxwell’s equations as the Maxwell–Faraday equation, which shows that a changing magnetic field produces an electric field. This unification confirmed that electricity and magnetism are two aspects of the same force.

Related News

Electricity Safety Explained

Electricity safety in electrical engineering prioritizes grounding, insulation coordination, overcurrent protection, arc-flash mitigation, lockout/tagout, and PPE to reduce shock, burn, and fire hazards in high-voltage and low-voltage installations through standards compliance and risk assessment.

 

What Is Electricity Safety?

Electricity safety is engineering practice to prevent shock, arc flash, and fire through design, controls, and standards.

✅ Implement grounding/earthing, bonding, and insulation coordination.

✅ Use overcurrent, residual current, and arc-fault protection.

✅ Apply NFPA 70E/IEC 60364, lockout/tagout, and arc-flash PPE.

 

Electricity Safety dangers involving voltages of greater than 50V are capable of producing heart fibrillation if they produce electric currents in body tissues which happen to pass through the chest area. The electrocution danger is mostly determined by the low conductivity of dry human skin. If skin is wet, or if there are wounds, or if the voltage is applied to electrodes which penetrate the skin, then even voltage sources below 40 V can be lethal if contacted. A DC circuit may be especially dangerous because it will cause muscles to lock around the wire. For a broader overview of common electrical hazards, the guide at dangers of electricity explains mechanisms of shock and injury.

Accidental contact with high voltage will usually result in severe injury or death. This can occur as a person's body provides a path for current flow causing tissue damage and heart failure. Other injuries can include burns from the arc generated by the accidental contact. These can be especially dangerous if the victims airways are affected. Injuries may also be suffered as a result of the physical forces exerted as people may fall fall from height or be thrown considerable distance. For context on regulatory and industry thresholds, see what is considered high voltage and how those limits are defined.

 

Electricity Safety

Depending on the short circuit current available at a switchgear line-up, a hazard is presented to maintenance and operating personnel due to the possibility of a high-intensity electric arc. Maximum temperature of an arc can exceed 10,000 kelvin, and the radiant heat, expanding hot air, and explosive vaporization of metal and insulation material can cause severe injury to unprotected workers. Such switchgear line-ups and high-energy arc sources are commonly present in electric power utility substations and generating stations and power lines, industrial plants and large commercial buildings. In the United States the National Fire Protection Association, has published a guideline standard NFPA 70E for evaluating and calculating arc flash hazard, and provides standards for the protective clothing required for electrical workers exposed to such hazards in the workplace. And even then, workers must still be careful. Understanding fault energy begins with the basics of a short circuit and how fault paths escalate incident energy.

While arc flash and arc blast are distinct, an arc fault can originate from insulation breakdown or wiring damage and quickly intensify conditions.

 

Explosion hazard

Even voltages insufficient to break down air can be associated with enough energy to ignite atmospheres containing flammable gases or vapours, or suspended dust. For example, air containing hydrogen gas or natural gas or gasoline vapor can be ignited by sparks produced by electrical apparatus fed by electricity lines or electricity power lines. Examples of industrial facilities with hazardous areas are petrochemical refineries, chemical plants, grain elevators, and some kinds of coal mines. In many environments, seemingly minor static electricity discharges are sufficient to ignite vapors if controls are inadequate.

Measures taken to prevent such explosions include:

  • Intrinsic safety, which is apparatus designed to not accumulate enough stored energy to touch off an explosion
  • Increased safety, which applies to devices using measures such as oil-filled enclosures to prevent contact between sparking apparatus and an explosive atmosphere
  • Explosion-proof enclosures, which are designed so that an explosion within the enclosure cannot escape and touch off the surrounding atmosphere (this designation does not imply that the apparatus will survive an internal or external explosion).

In recent years standards for explosion hazard protection have become more uniform between European and North American practice. The "zone" system of classification is now used in modified form in U.S. National Electrical Code and in the Canadian electrical code. Intrinsic safety apparatus is now approved for use in North American applications, though the explosion-proof enclosures used in North America are still uncommon in Europe. For clarity on terminology used across these standards, consult this electricity terms glossary for consistent definitions.

The Electric Safety Home is a home in which the outlet plugs, electric cords, and each electricity plug and cord plug near sinks and water sources are GFCI protected. That makes them safe. Understanding the nature of a ground fault helps explain why GFCIs trip quickly to prevent shock.

 

Related Articles

View more

Green Electricity

Green electricity integrates renewable energy sources such as solar PV, wind turbines, and hydropower into smart grids, improving power quality, decarbonization, efficiency, and reliability for industrial loads and utility-scale networks.

 

What is green electricity?

Green electricity is renewable-source power via smart grids to cut emissions and enhance system efficiency.

✅ Integrates PV, wind, hydro with power electronics and converters

✅ Enhances grid stability via inverters, FACTS, and smart protection

✅ Reduces CO2, improves efficiency, supports microgrids and storage

 

Green electricity is a term describing what is thought to be environmentally friendly sources of electricity. Typically, this refers to renewable and non-polluting energy power sources. For a broader perspective on how different technologies contribute, see this overview of sources of electricity across modern grids.

Green electricity includes natural energetic processes which can be harnessed with little pollution. Anaerobic digestion, geothermal power, wind power, small-scale hydropower, solar power, biomass power, tidal power and wave power fall under such a category. Some versions may also include power derived from the incineration of waste. Comparisons with other clean options are summarized in this guide to alternative electricity solutions used worldwide.

 

Energies Wind Electricity 
The winds that blow across the UK can be harnessed by turbines to provide Green electricity. Wind turbines sited in suitable locations already provide a small, but growing percentage of the UK's electricity, and are used successfully all around the world. In fact wind power is the world's fastest growing energy source! Wind turbine technology has greatly improved over the last ten years, making wind turbines quieter and more efficient so that electricity generated from the wind is now often competitive with traditional coal-fired and nuclear power stations. Wind turbines are also beginning to be built at sea — in the future much of our electricity could come from these offshore windfarms. Understanding how turbines integrate into national systems is covered in this primer on electricity generation methods and planning.

 

Solar Electricity
Many people believe that we don't get much solar Green electricity here in the UK. In fact solar power is already being used to provide essential power for many types of equipment being used in both remote and urban areas across the country. A solar photovoltaic (PV) module works by converting sunlight directly into electricity (even on cloudy days) using semiconductor technology. The vast majority of solar modules available today use "waste" silicon from the computer chip industry as the semiconductor material. They can be integrated into buildings and even made into roof tiles virtually indistinguishable from normal tiles. 
Solar Electricity can also be used to heat water directly using specially designed collectors. Even in winter a useful amount of hot water can be produced from roof top collectors. A third way to use solar energy is simply to design buildings to make maximum use of the sun. Using this so-called 'passive solar' approach, much of the energy that we currently use for heating, lighting and air conditioning can be saved. Homeowners can explore practical steps to generate electricity with rooftop PV and storage.

 

Hydro Electricity
Water turbines have been used to provide Green electricity for over 100 years and presently provide over 1% of the UK's electricity. Although most of the possible sites for large hydropower stations in the UK have already been developed, there is a large potential for smaller schemes. These can either use a small dam or work as a 'run of the river' system which has a minimal impact on the local environment. Design considerations for small schemes are outlined in this resource on water electricity systems for communities.

 

Wave Electricity
Many different devices have been designed over the years to try and capture some of this huge energy resource — the latest one has recently started generating Green electricity on the isle of Islay, off the West Coast of Scotland. In this machine waves hitting the shore are channelled into a large tube to power a specially designed turbine. With the proper support, wave power could provide a significant proportion of the UK's electricity needs in the future.

 

Tidal Electricity
Tidal power has been used in Britain for over a thousand years — at the time of the Doomsday book over 5,000 tide powered mills were recorded. Unlike other Green electricity renewable energy sources, which depend on the weather, tidal power is as predictable as the tides themselves. One way to capture tidal energy is to build a barrage across an estuary, storing water behind it as the tide rises and then releasing the stored water through turbines at low tide. Several sites around the UK could be suitable for this type of tidal system, the largest being the Severn Estuary. Another way is to use 'marine current turbines', which work like underwater wind turbines, harnessing tidal currents instead of the winds.

 

Geothermal Electricity
Geothermal energy comes from hot rocks deep underground. In some parts of the world steam comes to the surface and can be used to run steam turbines to produce Green electricity directly. In other places water can be pumped down and heated by the rocks to make steam. Geothermal energy can also be used to provide hot water and heating for buildings. Case studies of enhanced systems are available in this overview of geothermal electricity projects worldwide.

 

Biomass Electricity
Either agricultural wastes or specially grown plants can be used as a fuel to run small Green electricity power stations. As plants grow they absorb carbon dioxide (the main gas responsible for climate change) which is then released when the plants are burnt. So using biomass does not add any extra carbon dioxide into the atmosphere. Specially grown 'energy crops' provide not only an environmentally sound source of electricity, but also an important new opportunity for farmers. Analyses of supply chains and grid impacts appear in this review of electricity production from biomass and other renewables.

 

Landfill gas Converted to Electricity
As rubbish decomposes in the landfill sites where our household waste is dumped, it gives off methane gas. This gas can be captured and burnt in a gas turbine to produce an attractive Green electricity tariff. Burning the gas does give off carbon dioxide but since methane, which is emitted from the landfill site, is in fact a much more powerful greenhouse gas it is better to burn it than to allow the methane to escape into the atmosphere. There are already many landfill gas systems operating in the UK.

 

Waste Incineration Electricity
The UK generates an enormous amount of waste, and space at landfill sites is quickly running out. The best solution would be to recycle as much of the waste as possible, but instead incinerators are being constructed to burn the waste. In some cases the energy is being used to generate green electricity. However many environmentalists are still concerned about the emission of harmful dioxins and also about the loss of a valuable resources that could have been recycled. You can read about Greenpeace's views on incineration.

 

Related Articles

View more

Thevenin's Theorem

Thevenin’s Theorem simplifies complex linear circuits into a single voltage source and series resistance, making circuit analysis easier for engineers. It helps calculate current, load behavior, and equivalent resistance in practical electrical systems.

 

What is Thevenin’s Theorem?

Thevenin’s Theorem is a method in circuit analysis that reduces any linear electrical network to an equivalent circuit with a voltage source (Vth) in series with a resistance (Rth).

✅ Simplifies circuit analysis for engineers and students

✅ Calculates load current and voltage with accuracy

✅ Models equivalent resistance for real-world applications

Thevenin’s Theorem allows any linear, two-terminal circuit to be represented by a single voltage source in series with a resistance.

  • Reduces complex circuits to a simple equivalent consisting of a voltage source and a resistor

  • Makes analyzing load response and network behavior straightforward, saving time and effort

  • Widely used for calculating current, voltage, or power across loads in electrical networks

To fully grasp why Thevenin’s Theorem matters, it helps to revisit the principles of basic electricity, where voltage, current, and resistance form the foundation of all circuit analysis.

 

Understanding Thevenin’s Theorem

Thevenin’s Theorem is a cornerstone of basic electrical engineering and circuit analysis. First introduced by French engineer Léon Charles Thévenin in the late 19th century, the theorem allows engineers and students alike to simplify a complex electrical network to a single voltage source (known as the Thevenin voltage, Vth) in series with a single resistor (known as the Thevenin resistance, Rth). This is particularly useful when analyzing how a circuit will behave when connected to different loads. Concepts such as Ohm’s Law and electrical resistance work in conjunction with Thevenin’s method, ensuring accurate load and network calculations.

Thevenin’s Theorem states that any linear electrical network can be simplified to an equivalent circuit consisting of a single voltage source in series with a resistance. By removing the load resistance, engineers can calculate the equivalent circuit voltage at the terminals, which represents how the circuit will behave when reconnected. This approach replaces multiple components and ideal voltage sources with one simplified model, making circuit analysis more efficient while preserving accuracy in predicting load behavior.

 

How Thevenin’s Theorem Works

According to Thevenin’s Theorem, no matter how complicated a linear circuit may be, with multiple sources and resistors, it can be replaced by an equivalent Thevenin circuit. This greatly simplifies the process when you’re only interested in the voltage, current, or power delivered to a specific part of the circuit. The steps typically followed when using Thevenin’s Theorem are:

  1. Identify the portion of the circuit for which you want to find the Thevenin equivalent (usually across two terminals where a load is or will be connected).

  2. Remove the load resistor and determine the open-circuit voltage across the terminals. This voltage is the Thevenin voltage (Vth).

  3. Calculate the Thevenin resistance (Rth) by deactivating all independent voltage sources (replace them with short circuits) and current sources (replace them with open circuits), then determining the resistance viewed from the terminals.

  4. Redraw the circuit as a single voltage source Vth in series with resistance Rth, with the load resistor reconnected.

 

Why Use Thevenin’s Theorem?

There are several reasons why Thevenin’s Theorem is so widely used in both academic and practical electrical engineering:

  • Simplification – Instead of solving a complex network repeatedly each time the load changes, engineers can just reconnect different loads to the Thevenin equivalent, saving time and reducing the potential for error.

  • Insight – By reducing a circuit to its essential characteristics, it’s easier to understand how changes will affect load voltage, current, or power.

  • Foundation for Further Analysis – Thevenin’s Theorem forms the basis for other network analysis techniques, such as Norton's Theorem, and is fundamental to understanding more advanced topics like maximum power transfer.

 

Example Application

Imagine a scenario where you need to analyze a circuit with multiple resistors and voltage sources connected in series, with a load resistor at the end. Without Thevenin’s Theorem, calculating the voltage across or current through the load each time you change its resistance would require solving complicated sets of equations. Thevenin’s Theorem allows you to do all the hard work once, finding Vth and Rth, and then quickly see how the load responds to different values.

Illustrative Case: A power supply circuit needs to be tested for its response to varying loads. Instead of recalculating the entire network for each load, the Thevenin equivalent makes these calculations swift and efficient. A deeper look at capacitance and inductance shows how energy storage elements influence circuit behavior when simplified through equivalent models.

 

Limitations and Conditions

While powerful, Thevenin’s Theorem has limitations:

  • It only applies to linear circuits, those with resistors, sources, and linear dependent sources.

  • It cannot directly simplify circuits containing nonlinear elements such as diodes or transistors in their nonlinear regions.

  • The theorem is most useful for “two-terminal” or “port” analysis; it doesn’t help as much with multiple output terminals simultaneously, though extensions exist.

 

Connections to Broader Electrical Concepts

Thevenin’s Theorem is closely related to other concepts, such as Norton’s Theorem, which prescribes an equivalent current source and parallel resistance. Both theorems are widely applied in real-world scenarios, including power distribution, signal analysis, and the design of electronic circuits. For example, it's relevant when considering how hydro rates impact load distribution in utility networks.

Thevenin’s Theorem is more than just a trick for simplifying homework—it is a core analytical tool that forms the backbone of practical circuit analysis. Whether you are a student learning circuit theory or an engineer designing power systems, understanding and applying Thevenin’s Theorem is essential.  Understanding current flow and the role of a conductor of electricity provides practical insight into why reducing networks to simple equivalents makes engineering analysis more efficient.

 

Related Articles

 

View more

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.

 

What Is Electrical Resistance Definition?

It is the measure of how a material opposes electric current, equal to voltage divided by current and measured in ohms.

✅ Measured in ohms; per Ohm's law, resistance R equals voltage V over current I.

✅ Depends on material resistivity, length, cross-sectional area, and temperature.

✅ Key in circuit analysis, power dissipation, signal integrity, and safety.

 

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

 

Related Articles

View more

Wattmeters – Power Measurement

Wattmeters measure electrical power in watts, monitoring energy use in industrial power systems. They provide accurate active power readings for efficiency and load management, utilizing voltage and current measurements to achieve precise results.

 

What are Wattmeters?

Wattmeters are instruments used to measure electrical power. They:

✅ Measure active electrical power in watts for various applications.

✅ Are used in industrial, commercial, and residential energy monitoring.

✅ Help optimize efficiency, manage loads, and ensure system safety.

A wattmeter measures instantaneous (or short-term) electrical power in watts, while a watthour meter accumulates that power over time and reports energy used (e.g. in kWh). Energy meters and smart meters extend this concept by recording consumption continuously for billing, load analysis, and energy audits.

 

Working Principle of Wattmeters

Electrical power is calculated using the formula:

P = E × I

Where:

  • P = Power in watts

  • E = Voltage in volts

  • I = Current in amperes

In DC circuits, watts are sometimes expressed as volt-amperes (VA). In AC circuits, wattmeters measure true (or active) power, taking into account the power factor to compensate for phase differences between voltage and current. Unlike reactive power (measured in kvar) or apparent power (measured in kVA), active power is the usable portion that does real work. This relationship is often represented in the power triangle, where vector analysis explains how apparent, reactive, and active power interact.

 

Construction and Internal Components

A typical wattmeter consists of two main coil assemblies:

  1. Current Coil (CC)

    • Heavy-gauge copper wire with low resistance.

    • Connected in series with the load to carry the circuit current.

  2. Voltage Coil (VC)

    • Fine-gauge wire with high resistance.

    • Connected in parallel with the load to measure voltage.

The electrodynamometer, commonly referred to as a dynamometer wattmeter, is a classic analog device that operates on the principle of a motor. The interaction between the magnetic fields of the current and voltage coils produces a torque proportional to the power, causing the pointer to move over a calibrated scale. Understanding wattmeter principles is a foundation of basic electricity training, helping learners connect theory to practical power measurement.

 


 

Figure 1 – Construction of a dynamometer wattmeter showing current and voltage coil arrangement.

 

Types of Wattmeters

  • Analog/Dynamometer – Durable, reliable, suited for laboratory and field measurements.

  • Digital – Higher accuracy, data logging, and integration with monitoring systems.

  • Clamp-on  – Measure power without breaking the circuit, ideal for quick diagnostics.

  • Specialized  – Designed for RF power, audio power, or other niche applications.

In three-phase systems, wattmeters are often applied in accordance with Blondel’s theorem, which specifies the number of measurement elements required in multi-phase circuits. They are frequently used in conjunction with 3 phase electricity concepts to ensure balanced load distribution and optimal system efficiency.


 

Fig. 2. Power can be measured with a voltmeter and an ammeter.

 

Measuring Power in DC and AC Circuits

In DC circuits, power measurement can be as simple as multiplying voltage and current readings from separate meters.

Example:

If a circuit operates at 117 V DC and draws 1 A, the power is:

P = 117 × 1 = 117 W

In AC systems, especially with reactive or distorted loads, a wattmeter is essential because voltage and current may not be in phase. The device automatically accounts for the phase angle, providing accurate true power readings. Advanced digital wattmeters also compensate for harmonic distortion and poor waveform quality, providing more reliable measurements than older analog designs.

By measuring energy transfer in circuits, they also relate to other power measurement instruments such as ammeters, voltmeters, and multimeters, which measure supporting parameters needed for complete electrical analysis. Accurate wattmeter readings are crucial for diagnosing performance issues in 3-phase power networks, where the relationships between voltage and current are critical. By measuring energy transfer in circuits, they help explain fundamental laws of electromagnetism, such as Ampère’s Law, which underpins the interaction between current and magnetic fields.

 

Fig. 2. Power can be measured with a voltmeter and an ammeter.

 

Practical Examples and Load Considerations

A household iron may consume 1000 W, drawing 8.55 A at 117 V.

A large heater may draw 2000 W, or 17.1 A, potentially overloading a 15 A breaker.

In industrial settings, watt meters help prevent equipment overloading, reduce downtime, and improve energy efficiency.

 

Modern Wattmeter Applications

Today’s wattmeters are often part of smart energy monitoring systems that:

  • Track energy consumption over time.

  • Integrate with SCADA and IoT platforms.

  • Enable predictive maintenance through power trend analysis.

  • Support compliance with energy efficiency regulations.

 

Accuracy, Standards, and Advanced Considerations

Measurement accuracy is a crucial factor in determining wattmeter performance. Devices are often classified by a class of accuracy, with error limits defined by international standards such as IEC, ANSI, or IEEE. Regular calibration and testing procedures ensure watt meters continue to deliver reliable results in both laboratory and field conditions.

Modern digital watt meters feature true RMS measurement, which accurately captures distorted waveforms caused by nonlinear loads. This is especially important in power systems where harmonic distortion is present. In commercial and industrial environments, accurate wattmeter data support energy audits, load analysis, and regulatory compliance, making them indispensable tools for engineers and facility managers. Wattmeter usage is closely linked to the fundamentals of electrical energy, enabling precise monitoring for efficiency and cost control.

 

Key Advantages of Wattmeters

  • Accurate real-time power measurement.

  • Enhanced energy management and cost savings.

  • Improved system reliability through overload prevention.

  • Compatibility with both AC and DC systems.

Wattmeters remain a vital tool for measuring and managing electrical power. Whether in a simple residential circuit, a commercial energy audit, or a high-tech industrial monitoring system, they ensure that electrical systems run efficiently, safely, and cost-effectively. As technology advances, digital and networked wattmeters continue to expand their role, integrating into smart grids and energy-optimized infrastructures. 

 

Related Articles

 

View more

Understanding Ground Electricity

Ground electricity underpins grounding and earthing practices, managing earth potential and fault current. It ensures equipotential bonding, surge protection, and safety compliance per IEC/NEC standards for power systems, electronics, and lightning protection.

 

What Is Ground Electricity?

Ground electricity is the earth reference and return path that stabilizes systems and safely carries fault current.

✅ Provides low-impedance fault current paths to trip protection

✅ Uses earth electrodes, bonding, and grounding conductors

✅ Reduces touch voltage, EMI, and lightning surge damage

 

Understanding Ground Electricity 

Ground Electricity is a general term that is often used loosely to refer to “Bonding” (Safety Grounding) and “Earth Grounding”.  Personnel of major industries have often misinterpreted grounding to mean that anything in contact with the earth is considered to be grounded. For foundational context, see our overview on how electricity works to understand why grounding concepts are sometimes conflated.

Electrical Grounding is the reference zero for the electrical system.  When we talk about 120 Volts RMS, it represents 120 units above the zero electrical reference.  In residential settings, this reference is commonly tied to service equipment, as explained in our guide to home electricity and typical distribution practices.

Electrical Grounding is the reference zero for the electrical system and all the equipment should be at this same equipment potential plane. Maintaining that equipotential plane is central to electricity safety because it minimizes touch voltage hazards.

According to accident reports, most electrical accidents occur when the earth is used as the safety grounding system (Bonding).   These incidents underscore the broader dangers of electricity when protective paths are improperly designed.

Accident reports details the hazards of using earth as a safety grounding and the practice of electrical grounding the equipment through local grounds. (grounding each individual piece of equipment with a separate ground rod, driven into the earth).  Improper local grounds can also complicate fault clearing during a system electrical fault, increasing damage and downtime.

The best method for ensuring the safety of personnel is to use a “Bonding Conductor”. This conductor should be continuous, with sufficient ampacity and the lowest impedance path back to the circuit interrupting devices, which insures positive operation of the protective devices. A robust bonding network ensures rapid clearing of a ground fault by providing a low-impedance return path for protective devices.

Once a system that connects all the metallic frames of electrical equipment together has been established, then the grounding system must be placed at “Zero Reference Potential”.  The earth grounding electrode should have the lowest resistance value possible, preferably 5 ohms or less.   Coordinating equipment bonding with proper transformer grounding helps maintain stable reference potential across the installation.

This low resistance to earth ground electricity will limit the potential of the electrical system to earth (limiting the stresses placed on components such as switches, insulators and transformers).

It will also reduce the effects of static charges on the electrical system and will protect against lightning strokes, lightning induced voltages, and minimizes the effects of transient over-voltages.

Visit Our Electrical Grounding and Bonding Course 

 

Related Articles

View more

Sign Up for Electricity Forum’s Newsletter

Stay informed with our FREE Newsletter — get the latest news, breakthrough technologies, and expert insights, delivered straight to your inbox.

Electricity Today T&D Magazine Subscribe for FREE

Stay informed with the latest T&D policies and technologies.
  • Timely insights from industry experts
  • Practical solutions T&D engineers
  • Free access to every issue

Download the 2025 Electrical Training Catalog

Explore 50+ live, expert-led electrical training courses –

  • Interactive
  • Flexible
  • CEU-cerified