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Capacitance is the ability of a component to store electrical charge between plates separated by insulation, measured in farads. It is vital in circuits, electronics, and energy storage for voltage regulation, stability, and efficient power system performance.

What is Capacitance?

Capacitance is a fundamental concept in electrical engineering and physics, describing a system's ability to store energy in the form of an electrical charge.

✅ Measures the ability to store electric charge in a circuit

✅ Essential in filtering, timing, and power conditioning

✅ Found in capacitors used in electronics, motors, and power supplies

Capacitance (C = Q / V) measures the amount of electric charge (Q) a system stores per volt (V); unit: farad (F).

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Capacitance is the property of a system that allows it to store electric charge when a voltage, or electric potential difference, is applied across its terminals. This stored charge represents the system’s charge storage capacity, which is directly proportional to the capacitance value and the applied voltage. In alternating current (AC) circuits, capacitors do not pass current in the same way resistors do; instead, they oppose changes in voltage through a phenomenon known as capacitive reactance. This reactance decreases as the frequency of the AC signal increases, making capacitors essential in filtering, tuning, and timing applications. To understand how stored charge behaves across voltage differences, refer to our guide on capacitive load, which explores how capacitors affect AC circuits. For a detailed breakdown of how capacitance is measured, check out the unit of capacitance to understand farads and their practical conversions.

What Determines Capacitance?

The capacitance of a capacitor is determined by its geometry and the properties of the dielectric material between the conductive plates. The unit of capacitance is the farad, which can be measured in farads. Capacitors are often rated in microfarads (μF) or picofarads (pF), depending on their size and intended use.  For the basics of components that store electrical energy, see what is a capacitor to learn how these devices function and their role in circuits.

Learn how stored charge relates to apparent and real power in AC systems by visiting our apparent power vs real power comparison.

When a capacitor is connected to a voltage source, it charges, storing energy as an electrical field between its conductive plates. The amount of energy stored in a capacitor is proportional to its capacitance and the square of the voltage across it. When the voltage source is removed, the capacitor will slowly discharge, releasing the stored energy as an electrical current. Capacitance is also central to power factor optimization—discover how this works with an automatic power factor controller.

RC Circuits: The Role of Capacitance in Charging

A capacitor's charging and discharging behaviour is determined by its capacitance and the properties of the surrounding circuit. For example, in a simple circuit with a resistor and a capacitor, the capacitor will charge up rapidly when first connected to a voltage source. Still, it will then discharge slowly over time as the energy stored in the capacitor is dissipated through the resistor. The time constant of the circuit, which describes the rate at which the capacitor charges and discharges, is determined by the product of the resistance and capacitance of the circuit.

Capacitors are used in various electronic applications, from filtering noise in power supplies to storing energy in flash memory. The capacitance of a capacitor can be tuned by selecting different dielectric materials, changing the geometry of the conductive plates, or adding additional plates in parallel. To explore how capacitors behave when connected end-to-end, visit capacitance in series, which explains the reciprocal formula and voltage behavior.

Dielectric Materials and Their Effect on Capacitance

Dielectric materials are crucial to the operation of capacitors, as they serve as insulators between the conductive plates. The dielectric constant of a material describes its ability to store electrical energy and is a key parameter in determining the capacitance of a capacitor. Dielectric materials can be solid, such as ceramics or plastics, or liquid, such as electrolytes.

Capacitors can store energy in various forms, from high-voltage electrical energy in power supplies to low-voltage electrical energy in portable electronic devices. The energy stored in a capacitor can provide a quick burst of power to a circuit or smooth out variations in a power supply. If you're curious about how capacitors add their values in parallel, the capacitance in parallel page illustrates how capacitances sum directly, enhancing energy storage.

How Capacitance Compares to Resistance and Inductance

Resistance slows down the transfer rate of charge carriers (usually electrons) by "brute force." In this process, some energy is invariably converted from electrical form to heat. Resistance is said to consume power for this reason. Resistance is pre­sent in DC as well as in AC circuits and works the same way for either direct or alternat­ing current. Capacitor performance depends on safe voltage levels; our page on capacitor voltage rating explains these limits in detail.

Inductance impedes the flow of AC charge carriers by temporarily storing the en­ergy as a magnetic field. However, this energy is eventually replenished. For high-capacitance setups in electrical systems, see how banks of capacitors are configured in our capacitor bank overview.

Capacitance impedes the flow of AC charge carriers by temporarily storing the energy as an electric potential field. This energy is given back later, just as it is in an inductor. Capacitance is not generally necessary in pure-DC cir­cuits. However, it can have significance in circuits where DC is pulsating and not steady. If you're studying how capacitance affects reactive energy, visit our breakdown of reactive power formula in electrical circuits.

Capacitance in AC Circuits and Frequency Response

Capacitance, like inductance, can appear unexpectedly or unintentionally. As with inductance, this effect becomes more evident as the ac frequency increases.

Capacitance in electric circuits is deliberately introduced by a device called a capacitor. It was discovered by the Prussian scientist Ewald Georg von Kleist in 1745 and independently by the Dutch physicist Pieter van Musschenbroek at about the same time while investigating electrostatic phenomena. They discovered that electricity generated by an electrostatic machine could be stored for a period and then released. The device, which came to be known as the Leyden jar, consisted of a stoppered glass vial or jar filled with water, with a nail piercing the stopper and dipping into the water. By holding the jar in hand and touching the nail to the conductor of an electrostatic machine, they found that a shock could be obtained from the nail after disconnecting it by touching it with the free hand.

This reaction showed that some of the electricity from the machine had been stored. A simple but fundamental step in the evolution of the capacitor was taken by the English astronomer John Bevis in 1747 when he replaced the water with metal foil, forming a lining on the inside surface of the glass and another covering the outside surface. The interaction of capacitance and system reactance is a key part of understanding power quality, as explained on our reactor reactance in power systems page.

A Visual Thought Experiment: Capacitance Between Metal Plates

Imagine two very large, flat sheets of metal, such as copper or aluminum, that are ex­cellent electrical conductors. Suppose they are each the size of the state of Nebraska and are placed one on top of the other, separated by just a foot of space. What will happen if these two sheets of metal are connected to the terminals of a battery, as shown in Fig. 11-1?

Fig. 11-1. Two plates will become charged electrically, one positively and the other nega­tively.

The two plates will become charged electrically, one positively and the other nega­tively. You might think this would take a little while because the sheets are so big. However, this is a reasonable assumption.

If the plates were small, they would both become charged almost instantly, attaining a relative voltage equal to the battery's voltage. But because the plates are gigantic, it will take a while for the negative one to "fill up" with electrons, and it will take an equal amount of time for the other one to get electrons "sucked out." Finally, however, the volt­age between the two plates will be equal to the battery voltage, and an electric field will exist in the space between the plates.

This electric field will be small at first; the plates don't charge immediately. However, the negative charge and the positive charge will increase over time, depending on the size of the plates and the distance between them. Figure 11-2 is a relative graph showing the in­tensity of the electric field between the plates as a function of time elapsed since the plates are connected to the battery terminals.

Fig. 11-2. Relative electric field intensity, as a function of time, between two metal plates connected to a voltage source. 

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Alternating current (AC) is a type of electrical flow where the direction of current reverses periodically. Used in most homes and industries, AC is efficient for long-distance transmission and powers devices like motors, lights, and appliances through oscillating voltage.

What is Alternating Current?

Alternating current is a fundamental aspect of electrical systems that have shaped our world in countless ways. Its ability to be easily generated, converted to different voltages, and transmitted over long distances has made it the preferred choice for power transmission and distribution. Additionally, the many advantages of AC, such as compatibility with various devices and safety features, have made it indispensable in our daily lives.

✅ Powers homes, businesses, and industrial equipment through reliable energy transmission.

✅ Changes direction periodically, unlike DC, which flows one way.

✅ Enables long-distance energy delivery with reduced power loss.

To answer the question: What is alternating current? We need to first understand the role of a conductor, which is essential in AC systems, as conductors carry the oscillating electrical energy throughout circuits.

Understanding AC and DC

In the world of electricity, there are two primary forms of electric current: alternating current (AC) and direct current (DC). Understanding the distinctions between these two types of currents and their applications in daily life is essential to appreciate the advances in electrical engineering and the technology that surrounds us. A multimeter is commonly used to measure AC voltage and current in residential and industrial electrical systems.

AC vs. DC: Basic Differences

AC and DC are two distinct methods by which electric charge is transferred through a circuit. AC involves the flow of charge that periodically reverses direction, creating a waveform typically resembling a sine wave. On the other hand, DC refers to the flow of charge in a single, constant direction. The differences in their nature, functionality, and applications create a contrasting landscape in the electrical power sector. Devices like the voltmeter are specifically designed to measure AC or DC voltage, helping technicians verify circuit functionality and safety.

Why AC Is Preferred for Power Transmission

One key reason why AC is preferred over DC is its ability to easily convert to and from high voltages, making electric power transmission across long distances more efficient. Additionally, transformers can increase or decrease AC voltage, resulting in minimal power loss during long-distance transmission. In contrast, DC power cannot be altered as conveniently, making it less suitable for power transmission over extended distances.

How Alternating Current Works

The working principle of AC is centred around the changing magnetic field created by the flow of electric current. As the current changes direction, the magnetic field also alternates, inducing a voltage in the nearby conductors. This property of AC is fundamental to the operation of AC generators and transformers.

• AC operation is based on electromagnetic induction

• Rreversal creates alternating magnetic fields

• Voltage is induced in nearby conductors

The Role of Nikola Tesla in AC Development

The invention of AC can be attributed to multiple individuals, but the Serbian-American inventor, Nikola Tesla, is often credited with pioneering AC systems. Tesla's work on AC power transmission and his development of the induction motor helped establish AC as the dominant form of electricity.

Frequency: 50 Hz vs. 60 Hz

In frequency, the terms 50-cycle and 60-cycle AC refer to the number of times the current changes direction in one second. The frequency of AC power varies globally, with 50 Hz being the standard in many parts of Europe, Asia, and Africa, while 60 Hz is the norm in North America.

• 50 Hz is standard in Europe, Asia, and Africa

• 60 Hz is common in North America

• Frequency affects compatibility and performance of electrical devices

This difference in frequency can affect the operation of certain appliances and devices, making it essential to use the appropriate frequency for the intended purpose.

Advantages of Alternating Current

The advantages of AC over DC extend beyond efficient power transmission. AC is easier to generate and is widely used for electric power generation, making it more accessible and cost-effective. Moreover, AC systems are safer as they can be easily switched off when required, reducing the risk of electrical accidents. AC is versatile and can power various devices, from small household appliances to large industrial machines.

Key benefits of AC:

• Easily transformed to higher or lower voltages

• Safer switching and control in circuits

• Powers a wide range of residential and industrial devices

How AC Is Generated and Transmitted

The generation and transmission of AC are crucial components of the electrical power infrastructure. AC is generated through various means, such as hydroelectric, thermal, and nuclear power plants, which use generators to convert mechanical energy into electrical energy.

Transmission components:

• Transformers: Adjust voltage levels

• Transmission towers: Carry high-voltage lines

• Substations: Regulate voltage for safe end-use

Once generated, AC is transmitted through power lines that consist of transformers, transmission towers, and substations, which adjust the voltage levels for efficient distribution and usage.

The Role of AC in Daily Life

AC plays a vital role in our daily lives, as it powers most of the appliances and devices we rely on, including lights, computers, and household appliances. In addition, its compatibility with transformers, ease of generation, and ability to transmit power over long distances make it a cornerstone of modern electrical systems.

Frequency has a notable impact on AC usage. In addition to determining the compatibility of devices with a region's power supply, the frequency of AC power affects the speed and performance of electrical motors. A change in frequency may result in the motor operating at a different speed or, in some cases, causing it to malfunction.

Transformers are essential devices in AC systems, as they adjust voltage levels to meet the requirements of various applications. They function by utilizing the principle of electromagnetic induction, where a changing magnetic field in the primary coil induces a voltage in the secondary coil. By adjusting the number of turns in the coils, transformers can efficiently increase or decrease the voltage of AC power, depending on the specific application's needs.

The differences between AC and DC are crucial in understanding the diverse landscape of electrical power. The invention of AC by Nikola Tesla and other inventors has revolutionized the way electricity is generated, transmitted, and utilized. With an appreciation for the characteristics and applications of AC, we can gain a deeper understanding of the technology and infrastructure that powers our world.

How Does Alternating Current Work?

AC works by periodically reversing the direction of the electric charge flow within a circuit. In contrast to DC, which flows in a constant direction, AC oscillates back and forth. This oscillation is typically represented as a waveform, often in the shape of a sine wave. Let's dive deeper into how AC works.

AC is characterized by a waveform that typically takes the shape of a sine wave, allowing for smooth and continuous changes in voltage over time. This makes it ideal for long-distance transmission across the power grid, where electricity generated by a generator must travel efficiently to homes and businesses. The frequency of this current—measured in cycles per second or hertz (Hz)—determines how rapidly the voltage changes direction, impacting device performance and grid efficiency. As current flows through a conductor, it can be stepped up or down using a transformer, enabling voltage levels to be optimized for safe and effective delivery.

Generation: AC is generated using a rotating magnetic field to induce an electric current in a conductor. This is done using devices such as generators and alternators, which convert mechanical energy into electrical energy. In these devices, a coil of wire rotates within a magnetic field, or a magnet rotates around a stationary coil. This rotation causes the magnetic field to interact with the conductor, inducing a voltage and, consequently, an electric current that changes direction periodically.

Waveform: The alternating nature of AC is depicted by a waveform, which shows the voltage or current as a function of time. The most common waveform for AC is the sine wave, which can also take other forms, such as square or triangular waves. The waveform's shape determines the characteristics of the AC and how it interacts with various electrical components.

Frequency: One important parameter of AC is its frequency, which indicates the number of complete cycles the current undergoes per second. It is measured in hertz (Hz). Common frequencies include 50 Hz and 60 Hz, but other frequencies can also be used depending on the application. The frequency of the AC power supply affects the performance and compatibility of devices and equipment connected to it.

Voltage and current relationship: In an AC circuit, the voltage and current can be in phase (i.e., they reach their peak values simultaneously) or out of phase (i.e., they reach their peak values at different times). The phase relationship between voltage and current in an AC circuit can significantly impact power delivery and system efficiency. A voltage sag can disrupt sensitive equipment, making voltage regulation a key part of power quality analysis.

Transformers: A key advantage of AC is that its voltage can be easily changed using transformers. Transformers operate on the principle of electromagnetic induction, where a changing magnetic field in the primary coil induces a voltage in the secondary coil. By adjusting the number of turns in the coils, the transformer can step up or down the AC voltage as needed. This ability to adjust voltage levels makes AC an efficient choice for long-distance power transmission.

Frequently Asked Questions

What is the formula to calculate alternating current?

To calculate the value of AC at any given time, you need to know the current's amplitude (maximum value) and the angular frequency. The general formula for calculating instantaneous current in an AC circuit is:

i(t) = I_max * sin(ωt + φ)

Where:

• i(t) is the instantaneous current at time t

• I_max is the amplitude or peak current

• ω (omega) is the angular frequency, calculated as 2πf (where f is the frequency in hertz)

• t is the time at which you want to calculate the current

• φ (phi) is the phase angle, which accounts for any phase shift between the voltage and the current waveforms

Remember that this formula assumes a sinusoidal waveform, the most common form of AC. If the waveform is not sinusoidal, the formula will be different and depend on the specific shape of the waveform.

Another important value for AC circuits is the root-mean-square (RMS) current, which measures the effective value of the current. The RMS current is useful for calculating power in AC circuits and can be compared to the steady current value in DC circuits. The formula to calculate RMS current from the peak current is as follows:

I_RMS = I_max / √2

Where:

• I_RMS is the root-mean-square current

• I_max is the amplitude or peak current

• √2 is the square root of 2, approximately 1.414

• Using these formulas, you can calculate the instantaneous current value for an alternating current waveform and determine the effective or RMS current value.

To understand how voltage affects electrical circuits, it's essential to examine how voltage drop can lead to energy loss, particularly over long distances.

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A watt is the standard unit of power in the International System of Units (SI). It measures the rate of energy transfer, equal to one joule per second. Watts are commonly used to quantify electrical power in devices, circuits, and appliances.

What is a Watt?

A watt is a unit that measures how much power is used or produced in a system. It is central to understanding electricity and energy consumption.

✅ Measures the rate of energy transfer (1 joule per second)

✅ Commonly used in electrical systems and appliances

✅ Helps calculate power usage, efficiency, and energy costs

A watt is a unit of power, named after engineer James Watt, which measures the rate of energy transfer. A watt is a unit of power that measures the rate at which energy flows or is consumed. One watt is equivalent to one joule per second. In terms of electrical usage, 1,000 watt hours represent the amount of energy consumed by a device using 1,000 watts over one hour. This concept is important for understanding power consumption across devices on the electric grid. The watt symbol (W) is commonly used in electricity to quantify power, and watts measure power in various contexts, helping to track energy flow efficiently.

Frequently Asked Questions

How does a watt relate to energy?

A watt is a unit of power that measures the rate at which energy is consumed or produced. Specifically, one watt equals one joule per second, making it a crucial unit in understanding how energy flows.

How is a watt different from a watt-hour?

A watt measures power, while a watt-hour measures energy used over time. For instance, if you use a 100-watt bulb for 10 hours, you've consumed 1,000 watt-hours of energy.

How many watts does a typical household appliance use?

Wattage varies between appliances. For example, a microwave uses 800 to 1,500 watts, while a laptop typically uses between 50 to 100 watts. Understanding the wattage helps estimate overall power consumption.

What does it mean when a device is rated in watts?

A device’s watt rating indicates its power consumption when in use. A higher wattage means the device draws more power, leading to higher energy costs if used frequently.

How can I calculate power consumption in watts?

To calculate power in watts, multiply the voltage (volts) by the current (amperes). For example, a device using 120 volts and 10 amps will consume 1,200 watts. A watt, in electrical terms, is the rate at which electrical work is done when one ampere (A) of current flows through one volt (V). Formula:

W= A* V

Whenever current flows through a resistance, heat results. This is inevitable. The heat can be measured in watts, abbreviated W, and represents electrical power. Power can be manifested in many other ways, such as in the form of mechanical motion, or radio waves, or visible light, or noise. In fact, there are dozens of different ways that power can be dissipated. But heat is always present, in addition to any other form of power in an electrical or electronic device. This is because no equipment is 100-percent efficient. Some power always goes to waste, and this waste is almost all in the form of heat.

There is a certain voltage across the resistor, not specifically given in the diagram. There's also electricity flowing through the resis­tance, not quantified in the diagram, either. Suppose we call the voltage E and the cur­rent I, in volts and amperes, respectively. Then the power in watts dissipated by the resistance, call it P, is the product E X I. That is:

P (watts) = El

This power might all be heat. Or it might exist in several forms, such as heat, light and infrared. This would be the state of affairs if the resistor were an incandescent light bulb, for example. If it were a motor, some of the power would exist in the form of me­chanical work.

If the voltage across the resistance is caused by two flashlight cells in series, giving 3 V, and if the current through the resistance (a light bulb, perhaps) is 0.1 A, then E = 3 and I = 0.1, and we can calculate the power P, in watts, as:

P (watts) = El = 3 X 0.1 = 0.3 W

Suppose the voltage is 117 V, and the current is 855 mA. To calculate the power, we must convert the current into amperes; 855 mA = 855/1000 = 0.855 A. Then we have: 

P (watts) = 117 X 0.855 = 100 W

You will often hear about milliwatts (mW), microwatts (uW), kilowatts (kW) and megawatts (MW). You should, by now, be able to tell from the prefixes what these units represent. But in case you haven't gotten the idea yet, you can refer to Table 2- 2. This table gives the most commonly used prefix multipliers in electricity and electron­ics, and the fractions that; they represent. Thus, 1 mW = 0.001 W; 1 uW = 0.001 mW = 0.000001 W; 1 kW = 1-flOO W; and 1 MW = 1,000 kW = 1,000, 000 W.

Sometimes you need to use the power equation to find currents or voltages. Then you should use I = P/E to find current, or E = P/I to find power. It's easiest to remem­ber that P = El (watts equal volt-amperes), and derive the other equations from this by dividing through either by E (to get I) or by I (to get E).

A utility bill is measured in kilowatt hours, usually in 1,000 watt increments. A watt is a unit of electrical energy in which the units of measurement (watts and watt hours) are agreed to by an international system of units si called watts. The amout of energy is measured this way.

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Inductance
Michael Faraday discovered that by moving a magnet through a coil of wire, a voltage was induced across the coil. If a complete circuit was provided, then a current was also induced. The amount of induced voltage is directly proportional to the rate of change of the magnetic field with respect to the coil. The simplest of experiments can prove that when a bar magnet is moved through a coil of wire, a voltage is induced and can be measured on a voltmeter. This is commonly known as Faraday’s Law or the law of electromagnetic induction, which states:

The induced emf or electromagnetic force in a closed loop of wire is proportional to the rate of change of the magnetic flux through a coil of wire.

Conversely, current flowing through a coil of wire produces a magnetic field. When this wire is formed into a coil, it then becomes a basic inductor. The magnetic lines of force around each loop or turn in the coil effectively add to the lines of force around the adjoining loops. This forms a strong magnetic field within and around the coil. Figure 1A, illustrates this idea of a coil of wire strengthening a magnetic field. The magnetic lines of force around adjacent loops are deflected into an outer path when the loops are brought close together. This happens because the magnetic lines of force between adjacent loops are in opposition with each other. The total magnetic field for the two loops close together, the strength of the magnetic field will increase. Figure 10-118C illustrates the combined effects of many loops of a coil. The result is a strong electromagnet.

Fig. 1 - Many loops of a coil.

The primary aspect of the operation of a coil is its property to oppose any change in current through it. This property is called inductance. When current flows through any conductor, a magnetic field starts to expand from the center of the wire. As the lines of magnetic force grow outward through the conductor, they induce an emf in the conductor itself. The induced voltage is always in the direction opposite to the direction of the current flow. The effects of this countering emf are to oppose the immediate establishment of the maximum current. This effect is only a temporary condition. Once the current reaches a steady value in the conductor, the lines of magnetic force will no longer be expanding and the countering emf will no longer be present.

At the starting instant, the countering emf nearly equals the applied voltage, resulting in a small current flow. However, as the lines of force move outward, the number of lines cutting the conductor per second becomes progressively smaller, resulting in a diminished counter emf. Eventually, the counter emf drops to zero and the only voltage in the circuit is the applied voltage and the current is at its maximum value.

The RL Time Constant

Because the inductors basic action is to oppose a change in its current, it then follows that the current cannot change instantaneously in the inductor. A certain time is required for the current to make a change from one value to another. The rate at which the current changes is determined by a time constant represented by the greek letter tau (τ). The time constant for the RL circuit is:

In a series RL circuit, the current will increase to 63% of its full value in 1 time constant after the circuit is closed. This build up of course is similar to the build up of voltage in a capacitor when charging an RC circuit. Both follow an exponential curve and reach 99% value after the 5th time constant. Figure 2 illustrates this characteristic.

Physical Parameters
Some of the physical factors that affect inductance are:

1. The number of turns: Doubling the number of turns in a coil will produce a field twice as strong, if the same current is used. As a general rule, the inductance varies as the square of the number of turns.
2. The cross-sectional area of the coil: The inductance of a coil increases directly as the cross-sectional area of the core increases. Doubling the radius of a coil increases the inductance by a factor of four.
3. The length of a coil: Doubling the length of a coil, while keeping the same number of turns, halves the value of inductance.
4. The core material around which the coil is formed: Coils are wound on either magnetic or nonmagnetic materials. Some nonmagnetic materials include air, copper, plastic, and glass. Magnetic materials include nickel, iron, steel, or cobalt, which have a permeability that provides a better path for the magnetic lines of force and permit a stronger magnetic field. 

Self-Inductance
The characteristic of self-inductance was summarized by German physicist Heinrich Lenz in 1833 and gives the direction of the induced electromotive force (emf) resulting from electromagnetic induction. This is commonly known as Lenz’s Law, which states:

"The emf induced in an electric circuit always acts in such a direction that the current it drives around a closed circuit produces a magnetic field which opposes the change in magnetic flux."

Self inductance is the generation of a voltage in an electric circuit by a changing current in the same circuit. Even a straight piece of wire will have some degree of inductance because current in a conductor produces a magnetic field. When the current in a conductor changes direction, there will be a corresponding change in the polarity of the magnetic field around the conductor. Therefore, a changing current produces a changing magnetic field around the wire.

To further intensify the magnetic field, the wire can be rolled into a coil, which is called an inductor. The changing magnetic field around the inductor induces a voltage across the coil. This induced electromotive force is called self-inductance and tends to oppose any change in current within the circuit. This property is usually called inductance and symbolized with the letter L. 

Electricity is the flow of electric charge, usually through a conductor like wire. It powers lights, appliances, and machines by converting energy into motion, heat, or light. Electricity can be generated from sources such as fossil fuels, wind, solar, or water.

What is electricity?

Electricity is a fundamental form of energy created by the movement of electrons.

✅ Powers homes, industries, and electronic devices

✅ Flows through circuits as an electric current

✅ Generated from renewable and non-renewable sources

The power we use is a secondary energy source because it is produced by converting primary energy sources such as coal, natural gas, nuclear, solar, and wind energy into electrical power. It is also referred to as an energy carrier, meaning it can be converted into other forms of energy, such as mechanical or thermal energy.

Primary energy sources are either renewable or nonrenewable, but our power is neither.

To understand why electrons move in the first place, start with voltage, the electrical “pressure” that pushes charge through every circuit.

Electricity Has Changed Everyday Life

Although most people rarely think about electricity, it has profoundly changed how we live. It is as essential as air or water, yet we tend to take it for granted—until it’s gone. Electricity powers heating and cooling systems, appliances, communications, entertainment, and modern conveniences that past generations never imagined.

Before widespread electrification began just over a century ago, homes were lit with candles or oil lamps, food was cooled with ice blocks, and heating was provided by wood- or coal-burning stoves.

The steady stream of electrons we use daily is explored in our primer on current electricity.

Discovering Electricity: From Curiosity to Power Grid

Scientists and inventors began unlocking the secrets of electricity as early as the 1600s. Over the next few centuries, their discoveries built the foundation for the electric age.

Benjamin Franklin demonstrated that lightning is a form of electricity.

Thomas Edison invented the first commercially viable incandescent light bulb.

Nikola Tesla pioneered the use of alternating current (AC), which enabled the efficient transmission of electricity over long distances. He also experimented with wireless electricity.

Curious why Tesla’s ideas beat Edison’s? Our article on alternating current breaks down the advantages of alternating current (AC) over direct current (DC).

Before Tesla’s innovations, arc lighting used direct current (DC) but was limited to outdoor and short-range applications. His work made it possible for electricity to be transmitted to homes and factories, revolutionizing lighting and industry.

Understanding Electric Charge and Current

Electricity is the movement of electrically charged particles, typically electrons. These particles can move either statically, as in a buildup of charge, or dynamically, as in a flowing current.

All matter is made of atoms, and each atom consists of a nucleus with positively charged protons and neutral neutrons, surrounded by negatively charged electrons. Usually, the number of protons and electrons is balanced. But when that balance is disturbed—when electrons are gained or lost—an electric current is formed as those electrons move.

For a step-by-step walkthrough of everything from circuits to safety, visit how electricity works.

Electricity as a Secondary Energy Source

Electricity doesn’t occur naturally in a usable form. It must be generated by converting other types of energy. In fact, electricity is a manufactured product. That’s why electricity is called a secondary energy source—it carries energy from its original form to where we need it.

We generate electricity by transforming mechanical energy—such as spinning a turbine—into electrical energy. This conversion happens at power plants that use a variety of fuels and methods:

• Fossil fuels (coal, oil, natural gas)

• Nuclear energy

• Renewable sources like wind, solar, and hydroelectric

If turbines, magnets, and power plants intrigue you, see how electricity is generated for a deeper dive.

How Electricity Was Brought Into Homes

Before electricity generation began on a mass scale, cities often developed near waterfalls, where water wheels powered mills and machines. The leap from mechanical energy to electrical energy enabled power to travel not just across a town, but across entire countries.

Beginning with Franklin’s experiments and followed by Edison’s breakthrough with indoor electric light, the practical uses of electricity expanded rapidly. Tesla’s AC power system made widespread electric distribution feasible, bringing light, heat, and industry to homes and cities worldwide.

How Transformers Changed Everything

To transmit electricity efficiently over long distances, George Westinghouse developed the transformer. This device adjusts the voltage of electrical power to match its purpose—high for long-range travel, low for safe use in homes.

Transformers made it possible to supply electricity to homes and businesses far from power plants. The electric grid became a coordinated system of generation, transmission, distribution, and regulation.

Even today, most of us rarely consider the complexity behind our wall sockets. But behind every outlet lies a vast infrastructure keeping electricity flowing safely and reliably.

How Is Electricity Generated?

Electric generators convert mechanical energy into electricity using the principles of magnetism. When a conductor—such as a coil of wire—moves through a magnetic field, an electric current is induced.

In large power stations, turbines spin magnets inside massive generators. These turbines are driven by steam, water, or wind. The rotating magnet induces small currents in the coils of wire, which combine into a single continuous flow of electric power.

Discover the principle that turns motion into power in electromagnetic induction, the heart of every modern generator.

Measuring Electricity

Electricity is measured in precise units. The amount of power being used or generated is expressed in watts (W), named after inventor James Watt.

• One watt is a small unit of power; 1,000 watts equal one kilowatt (kW).

• Energy use over time is measured in kilowatt-hours (kWh).

• A 100-watt bulb burning for 10 hours uses 1 kWh of electricity.

These units are what you see on your electric bill. They represent how much electricity you’ve consumed over time—and how much you’ll pay.

When it’s time to decode your energy bill, the chart in electrical units makes watts, volts, and amps clear.

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Power factor is the ratio of real power to apparent power in an electrical system. It measures how efficiently electrical energy is converted into useful work. A high power factor means less energy loss and better system performance.

What is Power Factor?

It is defined as the ratio of real power (kW), which performs useful work, to apparent power (kVA), which is the total power supplied to the system.

✅ Indicates how efficiently electrical power is used

✅ Reduces energy losses and utility costs

✅ Improves system capacity and voltage regulation

A poor power factor means that some of the supplied power is wasted as reactive power — energy that circulates in the system but does not perform useful work.

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Inductive loads, such as motors and variable speed drives, are a common cause of poor power factor. This inefficiency can lead to higher electric bills, particularly for industrial customers, because utilities often base demand charges on kVA rather than just on kW. To correct a poor power factor, capacitor banks are often installed to offset the inductive reactive power, reducing wasted energy and improving system efficiency.

A poor power factor can lead to higher electricity bills, especially for industrial customers who face demand charges based on kVA. Utilities must supply both the real and reactive components of power, which you can learn more about in our Apparent Power Formula: Definition, Calculation, and Examples guide. To correct power factor issues, capacitor banks are often installed to offset inductive effects and bring the system closer to unity power factor.

Understanding Power Factor in Electrical Systems

Power factor (PF) is not just about efficiency — it also reflects the relationship between voltage and current in an electrical circuit. It measures how closely the voltage waveform and current waveform are aligned, or "in phase," with each other.

• Leading Power Factor: Occurs when the current waveform leads the voltage waveform. Some lighting systems, like compact fluorescent lamps (CFLs), can produce a leading power factor.

• Lagging Power Factor: Occurs when the current waveform lags behind the voltage waveform. This is typical in systems with motors and transformers. See our article on Lagging Power Factor and How to Correct It for a detailed discussion.

• Non-Linear Loads: Loads that distort the current waveform from its original sine wave shape, often due to switching operations within devices. Examples include electric ballasts and switch-mode power supplies used in modern electronics. Their effect on system stability is discussed in our Power Quality and Harmonics Explained guide.

• Mixed Loads: Most real-world systems have a mix of linear and non-linear loads, which can partially cancel out some harmonic distortions.

Real, Reactive, and Apparent Power

To fully understand power factor, it helps to grasp the three types of electrical power:

• Real (or Active) Power: The power that performs actual work in the system, expressed in Watts (W).

• Reactive (or Non-Active) Power: The power stored and released by the system’s inductive or capacitive elements, expressed in Volt-Amperes Reactive (VARs). Explore how it’s calculated in our article on Reactive Power Formula in AC Circuits.

• Apparent Power: The combined effect of real and reactive power, expressed in Volt-Amperes (VA). Utilities must deliver apparent power to serve all the loads connected to their networks.

The relationship between these three can be visualized as a right triangle, with real power as the base, reactive power as the vertical side, and apparent power as the hypotenuse. If you want to calculate power factor quickly, check out our simple How to Calculate Power Factor guide.

A Simple Analogy: The Horse and the Railroad Car

Imagine a horse pulling a railroad car along uneven tracks. Because the tracks are not perfectly straight, the horse pulls at an angle. The real power is the effort that moves the car forward. The apparent power is the total effort the horse expends. The sideways pull of the horse — effort that does not move the car forward — represents the reactive power.

The angle of the horse’s pull is similar to the phase angle between current and voltage in an electrical system. When the horse pulls closer to straight ahead, less effort is wasted, and the real power approaches the apparent power. In electrical terms, this means the power factor approaches 1.0 — the ideal scenario where almost no energy is wasted. For more real-world examples, we provide further explanations in Power Factor Leading vs. Lagging

The formula for calculating power factor is:

PF = Real Power ÷ Apparent Power

If your facility has poor power factor, adding a Power Factor Correction Capacitor can make a significant difference.

Causes of Low Power Factor

Low PF is caused by inductive loads (such as transformers, electric motors, and high-intensity discharge lighting), which are a major portion of the power consumed in industrial complexes. Unlike resistive loads that create heat by consuming kilowatts, inductive loads require the current to create a magnetic field, and the magnetic field produces the desired work. The total or apparent power required by an inductive device is a composite of the following:

• Real power (measured in kilowatts, kW)

• Reactive power, the nonworking power caused by the magnetizing current, required to operate the device (measured in kilovolts, power kVAR)

Reactive power required by inductive loads increases the amount of apparent power (measured in kilovolts-amps, kVA) in your distribution system. The increase in reactive and apparent power causes the PF to decrease.

Simple How-to: Correcting Power Factor

Correcting a low power factor is typically straightforward and can bring significant benefits to a facility’s energy performance. Here are some common methods:

• Install Capacitor Banks: Capacitors supply leading reactive power, which offsets the lagging reactive power caused by inductive loads such as motors.

• Use Synchronous Condensers: These specialized rotating machines can dynamically correct power factor in larger industrial settings.

• Upgrade Motor Systems: High-efficiency motors and variable frequency drives (VFDs) can reduce reactive power consumption.

• Perform Regular System Audits: Periodic testing and monitoring can identify changes in power factor over time, allowing for proactive corrections.

Implementing power factor correction measures not only improves energy efficiency but also reduces system losses, stabilizes voltage levels, and extends the lifespan of electrical equipment.

Industries Where Power Factor Correction Matters

Industries that operate heavy machinery, large motors, or lighting banks often struggle with low PF. Facilities interested in monitoring their system health can benefit from tools like a Power Quality Analyzer Explained. Proper correction reduces wasted energy, prevents overheating, and extends the equipment's lifespan.

Power factor management is especially important for utilities and high-demand commercial sites, where poor PF can impact both Quality of Electricity and system reliability.

Some key sectors where maintaining a high power factor is vital include:

• Manufacturing Plants: Motors, compressors, and welding equipment can cause significant reactive power demands.

• Data Centers: The large number of servers and cooling systems contributes to power inefficiencies.

• Hospitals: Medical imaging machines, HVAC systems, and other critical equipment generate substantial electrical loads.

• Commercial Buildings: Lighting systems, elevators, and HVAC units can result in a low power factor without proper correction.

• Water Treatment Facilities: Pumps and filtration systems involve extensive motor usage, requiring careful management of power quality.

Improving the power factor in these industries not only reduces utility penalties but also enhances the reliability of critical systems.
 

Frequently Asked Questions

What is a good power factor, and why does it matter?

A power factor (PF) of 1.0 (or 100%) is ideal, indicating that all the power supplied is effectively used for productive work. Utilities typically consider a PF above 0.9 (90%) as acceptable. Maintaining a high PF reduces energy losses, improves voltage stability, and can lower electricity costs by minimizing demand charges.

How does low power factor increase my electricity bill?

When your PF drops below a certain threshold (often 90%), utilities may impose surcharges to compensate for the inefficiencies introduced by reactive power. For instance, BC Hydro applies increasing penalties as PF decreases, with surcharges reaching up to 80% for PFs below 50% . Improving your PF can thus lead to significant cost savings.

What causes a low power factor in electrical systems?

Common causes include:

• Inductive loads: Equipment like motors and transformers consume reactive power.

• Underloaded motors: Operating motors below their rated capacity.

• Non-linear loads: Devices like variable frequency drives and fluorescent lighting can distort current waveforms, leading to a lower PF.

How can I improve my facility's power factor?

Improvement strategies encompass:

• Installing capacitor banks: These provide reactive power locally, reducing the burden on the supply.

• Using synchronous condensers: Particularly in large industrial settings, they help adjust PF dynamically.

• Upgrading equipment: Replacing outdated or inefficient machinery with energy-efficient models.

• Regular maintenance: Ensuring equipment operates at optimal conditions to prevent PF degradation.

Does power factor correction benefit the environment?

Yes. Enhancing PF reduces the total current drawn from the grid, leading to:

• Lower energy losses: Less heat generation in conductors.

• Improved system capacity: Allowing more users to be served without infrastructure upgrades.

• Reduced greenhouse gas emissions: As overall energy generation needs decrease.

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