What do Ammeters Measure?

Voltage is the electrical potential difference between two points, providing the force that moves current through conductors. It expresses energy per charge, powering devices, controlling circuits, and ensuring efficient and safe operation of electrical and electronic systems.

What is Voltage?

Voltage is the electric potential difference, the work done per unit charge (Joules per Coulomb). It: 

✅ Is the difference in electric potential energy between two points in a circuit.

✅ Represents the force that pushes electric current through conductors.

✅ It is measured in volts (V), and it is essential for power distribution and electrical safety.

To comprehend the concept of what is voltage, it is essential to understand its fundamental principles. Analogies make this invisible force easier to picture. One of the most common is the water pressure analogy: just as higher water pressure pushes water through pipes more forcefully, higher voltage pushes electric charges through a circuit. A strong grasp of voltage begins with the fundamentals of electricity fundamentals, which explain how current, resistance, and power interact in circuits.

Another way to imagine what is voltage is as a hill of potential energy. A ball placed at the top of a hill naturally rolls downward under gravity. The steeper the hill, the more energy is available to move the ball. Likewise, a higher voltage means more energy is available per charge to move electrons in a circuit.

A third analogy is the pump in a water system. A pump creates pressure, forcing water to move through pipes. Similarly, a battery or generator functions as an electrical pump, supplying the energy that drives electrons through conductors. Without this push, charges would remain in place and no current would flow.

Together, these analogies—water pressure, potential energy hill, and pump—show how voltage acts as the essential driving force, the “electrical pressure” that enables circuits to function and devices to operate. Since voltage and Current are inseparable, Ohm’s Law shows how resistance influences the flow of electricity in every system.

These analogies help us visualize voltage as pressure or stored energy, but in physics, voltage has a precise definition. It is the work done per unit charge to move an electric charge from one point to another. Mathematically, this is expressed as:

V = W / q

where V is voltage (in volts), W is the work or energy (in joules), and q is the charge (in coulombs). This equation shows that one volt equals one joule of energy per coulomb of charge.

In circuit analysis, voltage is also described through Ohm’s Law, which relates it to current and resistance:

V = I × R

where I is current (in amperes) and R is resistance (in ohms). This simple but powerful formula explains how voltage, current, and resistance interact in every electrical system.

Italian physicist Alessandro Volta played a crucial role in discovering and understanding V. The unit of voltage, the volt (V), is named in his honor. V is measured in volts, and the process of measuring V typically involves a device called a voltmeter. In an electrical circuit, the V difference between two points determines the energy required to move a charge, specifically one coulomb of charge, between those points. The history of voltage is closely tied to the History of Electricity, where discoveries by pioneers like Volta and Franklin have shaped modern science.

An electric potential difference between two points produces an electric field, represented by electric lines of flux (Fig. 1). There is always a pole that is relatively positive, with fewer electrons, and one that is relatively negative, with more electrons. The positive pole does not necessarily have a deficiency of electrons compared with neutral objects, and the negative pole might not have a surplus of electrons compared with neutral objects. But there's always a difference in charge between the two poles. So the negative pole always has more electrons than the positive pole.

Fig 1. Electric lines of flux always exist near poles of electric charge.

The abbreviation for voltage measurement is V. Sometimes, smaller units are used. For example, the millivolt (mV) is equal to a thousandth (0.001) of a volt. The microvolt (uV) is equal to a millionth (0.000001) of a volt. And it is sometimes necessary to use units much larger than one volt. For example, one kilovolt (kV) is equal to one thousand volts (1,000). One megavolt (MV) is equal to one million volts (1,000,000) or one thousand kilovolts. When comparing supply types, the distinction between Direct Current and AC vs DC shows why standardized voltage systems are essential worldwide.

The concept of what is voltage is closely related to electromotive force (EMF), which is the energy source that drives electrons to flow through a circuit. A chemical battery is a common example of a voltage source that generates EMF. The negatively charged electrons in the battery are compelled to move toward the positive terminal, creating an electric current.

In power distribution, three-phase electricity and 3 Phase Power demonstrate how higher voltages improve efficiency and reliability.

Voltage is a fundamental concept in electrical and electronic systems, as it influences the behavior of circuits and devices. One of the most important relationships involving V is Ohm's Law, which describes the connection between voltage, current, and resistance in an electrical circuit. For example, Ohm's Law states that the V across a resistor is equal to the product of the current flowing through it and the resistance of the resistor. 

The voltage dropped across components in a circuit is critical when designing or analyzing electrical systems. Voltage drop occurs when the circuit components, such as resistors, capacitors, and inductors, partially consume the V source's energy. This phenomenon is a crucial aspect of circuit analysis, as it helps determine a system's power distribution and efficiency. Potential energy is defined as the work required to move a unit of charge from different points in an electric dc circuit in a static electric field.  Engineers often analyze Voltage Drop to evaluate circuit performance, alongside concepts like Electrical Resistance.

Voltage levels are standardized in both household and industrial applications to ensure the safe and efficient operation of electrical equipment. In residential settings, common voltage levels range from 110 to 240 volts, depending on the country. Industrial applications often utilize higher voltages, ranging from several kilovolts to tens of kilovolts, to transmit electrical energy over long distances with minimal losses.

Another important distinction in the realm of voltage is the difference between alternating current (AC) and direct current (DC). AC alternates periodically, whereas DC maintains a constant direction. AC is the standard for most household and industrial applications, as it can be easily transformed to different voltage levels and is more efficient for long-distance transmission. DC voltage, on the other hand, is often used in batteries and electronic devices.

Voltage is the driving force behind the flow of charge carriers in electrical circuits. It is essential for understanding the behavior of circuits and the relationship between voltage, current, and resistance, as described by Ohm's Law. The importance of V levels in household and industrial applications, as well as the significance of voltage drop in circuit analysis, cannot be overstated. Finally, the distinction between AC and DC voltage is critical for the safe and efficient operation of electrical systems in various contexts.

By incorporating these concepts into our understanding of voltage, we gain valuable insight into the world of electricity and electronics. From the pioneering work of Alessandro Volta to the modern applications of voltage in our daily lives, it is clear that voltage will continue to play a crucial role in the development and advancement of technology. Foundational principles such as Amperes Law and the Biot Savart Law complement voltage by describing how currents and magnetic fields interact.

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A busbar is a metallic strip or bar used in electrical systems to conduct electricity within switchgear, distribution panels, and substations. It distributes power efficiently and reduces resistance, enhancing safety and electrical performance.

What is a Busbar?

A busbar is a crucial electrical component used to conduct, distribute, and manage power in electrical systems. Found in commercial, industrial, and utility applications, it helps centralize connections and minimize wiring complexity.

✅ Provides efficient power distribution in electrical panels and substations

✅ Reduces resistance and improves system reliability

✅ Supports compact, organized electrical design for switchgear and distribution boards

A Busbar is an important component of electrical distribution systems, providing a central location for power to be distributed to multiple devices. It is an electrical conductor responsible for collecting electrical power from incoming feeders and distributing it to outgoing feeders. They are made of metal bars or metallic strips and have a large surface area to handle high currents.

How Does it Work?

It is a strip or bar made of copper, aluminum, or another conductive metal used to distribute electrical power in electrical systems. They have a large surface area to handle high currents, which reduces the current density and minimizes losses. They can be insulated or non-insulated, and they can be supported on insulators or wrapped in insulation. They are protected from accidental contact by either a metal earthed enclosure or elevation out of normal reach.

They collect electrical power from incoming feeders and distribute it to outgoing feeders. The bus bar system provides a common electrical junction for various types of electrical equipment, designed to handle high currents with minimal losses. They are often used in industrial applications, where they are installed in electrical panels or switchgear panels.

Different Types of Busbars

Different types of busbars are available on the market, including those made of copper or aluminum, as well as insulated or non-insulated, and segmented or solid busbars. Copper or brass busbars are used in low-voltage applications, while aluminum busbars are used in high-voltage applications. Insulated busbars are used in situations where accidental contact can occur, and segmented busbars are used to connect different types of equipment.

Busbars can also be classified based on their cross-section. A rectangular is the most common type and is often used in low-voltage applications. On the other hand, a tubular busbar is a hollow cylinder used in high-voltage applications. Finally, a circular one has a circular cross-section and is used in high-current applications.

Busbar Types and Characteristics

The Purpose of a Busbar in an Electrical System

The primary purpose of an electrical system is to distribute electrical power to different parts of the system. The busbar system collects electrical power from incoming feeders and distributes it to outgoing feeders. Busbars also provide a common electrical junction for different types of electrical equipment.

Busbar and Circuit Breakers

They are often used in conjunction with circuit breakers. Circuit breakers protect electrical circuits from damage caused by overload or short circuits. Additionally, they can be used to isolate the electrical supply in the event of a fault or overload. Circuit breakers are often installed in electrical or switchgear panels, which can be easily accessed and maintained.

Busbars and Electrical Distribution Equipment

They are an essential component of electrical distribution equipment, including electrical panels, switchgear panels, and distribution boards. Electrical panels distribute power to various parts of a building, while switchgear panels control the flow of electrical power in industrial applications. Distribution boards divide the electrical supply into separate circuits at a single location.

Busbar Installation

Installing a busbar involves several basic steps. First, the busbar system's design must be created, considering both the electrical load and the required current-carrying capacity. Then, it is installed in the electrical panel or switchgear panel. Finally, it is connected to the electrical equipment using either bolts, clamps, or welding.

Maintenance

Maintaining a busbar system involves regular inspections and cleaning. The system should be inspected for any damage or corrosion, and the connections should be tightened if they become loose. Regular cleaning of the system is also essential to prevent the buildup of dust or dirt, which can lead to a short circuit.

Safety Precautions

Working with busbars involves high voltage and current, so taking proper safety precautions is essential. The system must be isolated from the electrical system before any maintenance is performed. Personal protective equipment, such as gloves and safety glasses, should be worn while working with busbars. Working on a live system should only be done by trained personnel after ensuring that all necessary safety precautions are in place.

Accidents involving Busbars

Accidents can occur when working with busbars, and they can be dangerous if proper safety precautions are not taken. One common accident that can occur involves accidental contact with a live one. This can cause electrical shock, burns, and even death. Another accident involves short circuits, which can lead to equipment damage, fire, or explosions. These accidents can be prevented by following proper safety procedures and wearing personal protective equipment.

Arc flash accidents, including busbars, are a potential hazard when working with electrical equipment. An arc flash is an electrical explosion that can occur when a fault occurs in an electrical circuit, resulting in a short circuit or electrical discharge. Arc flash accidents can cause severe burns, hearing loss, and even death.

They can be a source of arc flash accidents if proper safety precautions are not taken. For example, if a live busbar comes into contact with an object, it can cause an arc flash. Proper insulation and guarding are necessary to prevent arc flash accidents involving busbars. They should also be installed in a way that minimizes the possibility of accidental contact.

Additionally, they should be designed to handle the expected current load, as overloading can lead to a fault and an arc flash. It is also essential to follow proper maintenance procedures, including regular system inspections and cleaning, to prevent damage or corrosion that can cause faults and arc flashes.

Overall, busbars are related to arc flash accidents as they can be a source of electrical faults that can lead to an arc flash. Therefore, following proper safety procedures, including proper insulation, guarding, and system maintenance, is crucial to prevent arc flash accidents.

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Who discovered electricity? Early pioneers including William Gilbert, Benjamin Franklin, Luigi Galvani, Alessandro Volta, and Michael Faraday advanced static electricity, circuits, and electromagnetism, laying the foundation for modern electrical science.

Who Discovered Electricity?

From the writings of Thales of Miletus it appears that Westerners in their day knew as long ago as 600 B.C. that amber becomes charged by rubbing. But other than that, there was little real progress until the English scientist William Gilbert in 1600 described the electrification of many substances and coined the term "electricity" from the Greek word for amber. For a deeper look at how ideas about discovery versus invention evolved, see who invented electricity for historical perspective.

As a result, Gilbert is called the father of modern electric power. In 1660, Otto von Guericke invented a crude machine for producing static electricity. It was a ball of sulfur, rotated by a crank with one hand and rubbed with the other. Successors, such as Francis Hauksbee, made improvements that provided experimenters with a ready source of static electricity. Today's highly developed descendant of these early machines is the Van de Graaf generator, which is sometimes used as a particle accelerator. Robert Boyle realized that attraction and repulsion were mutual and that electric force was transmitted through a vacuum. Stephen Gray distinguished between conductors and nonconductors. C. F. Du Fay recognized two kinds of power, which Benjamin Franklin and Ebenezer Kinnersley of Philadelphia, peoples who later named positive and negative.

For a quick chronological overview of these pioneering advances, consult this timeline of electricity to trace developments across centuries.

Progress quickened after the Leyden jar was invented in 1745 by Pieter van Musschenbroek. The Leyden jar stored static electricity, which could be discharged all at once. In 1747 William Watson discharged a Leyden jar through a circuit, and comprehension of the current and circuit started a new field of experimentation. Henry Cavendish, by measuring the conductivity of materials (he compared the simultaneous shocks he received by discharging Leyden jars through the materials), and Charles A. Coulomb, by expressing mathematically the attraction of electrified bodies, began the quantitative study of electric power. For additional background on early experiments and theory, explore the history of electricity for context and sources.

Depite what you have learned, Benjamin Franklin did not "discover" electric power. In fact, electric power did not begin when Benjamin Franklin at when he flew his kite during a thunderstorm or when light bulbs were installed in houses all around the world. For details on why Franklin is often miscredited, read did Ben Franklin discover electricity for clarification.

The truth is that electric power has always been around because it naturally exists in the world. Lightning, for instance, is simply a flow of electrons between the ground and the clouds. When you touch something and get a shock, that is really static electricity moving toward you. If you are new to the core concepts, start with basic electricity to ground the fundamentals.

Power Personalities

Benjamin Franklin

Ben Franklin was an American writer, publisher, scientist and diplomat, who helped to draw up the famous Declaration of Independence and the US Constitution. In 1752 Franklin proved that lightning and the spark from amber were one and the same thing. The story of this famous milestone is a familiar one, in which Franklin fastened an iron spike to a silken kite, which he flew during a thunderstorm, while holding the end of the kite string by an iron key. When lightening flashed, a tiny spark jumped from the key to his wrist. The experiment proved Franklin's theory. For more about Franklin's experiments, see Ben Franklin and electricity for experiment notes and legacy.

Galvani and Volta

In 1786, Luigi Galvani, an Italian professor of medicine, found that when the leg of a dead frog was touched by a metal knife, the leg twitched violently. Galvani thought that the muscles of the frog must contain electric signals. By 1792 another Italian scientist, Alessandro Volta, disagreed: he realised that the main factors in Galvani's discovery were the two different metals - the steel knife and the tin plate - apon which the frog was lying. Volta showed that when moisture comes between two different metals, electric power is created. This led him to invent the first electric battery, the voltaic pile, which he made from thin sheets of copper and zinc separated by moist pasteboard.

In this way, a new kind of electric power was discovered, electric power that flowed steadily like a current of water instead of discharging itself in a single spark or shock. Volta showed that electric power could be made to travel from one place to another by wire, thereby making an important contribution to the science of electricity. The unit of electrical potential, the Volt, is named after Volta.

Michael Faraday

The credit for generating electric current on a practical scale goes to the famous English scientist, Michael Faraday. Faraday was greatly interested in the invention of the electromagnet, but his brilliant mind took earlier experiments still further. If electricity could produce magnetism, why couldn't magnetism produce electric power.

In 1831, Faraday found the solution. Electricity could be produced through magnetism by motion. He discovered that when a magnet was moved inside a coil of copper wire, a tiny electric current flows through the wire. Of course, by today's standards, Faraday's electric dynamo or electric generator was crude, and provided only a small electric current be he discovered the first method of generating electric power by means of motion in a magnetic field.

Thomas Edison and Joseph Swan

Nearly 40 years went by before a really practical DC (Direct Current) generator was built by Thomas Edison in America. Edison's many inventions included the phonograph and an improved printing telegraph. In 1878 Joseph Swan, a British scientist, invented the incandescent filament lamp and within twelve months Edison made a similar discovery in America. For a broader view of his role in power systems, visit Thomas Edison and electricity for projects and impact.

Swan and Edison later set up a joint company to produce the first practical filament lamp. Prior to this, electric lighting had been my crude arc lamps.

Edison used his DC generator to provide electricity to light his laboratory and later to illuminate the first New York street to be lit by electric lamps, in September 1882. Edison's successes were not without controversy, however - although he was convinced of the merits of DC for generating electricity, other scientists in Europe and America recognised that DC brought major disadvantages.

George Westinghouse and Nikola Tesl

Westinghouse was a famous American inventor and industrialist who purchased and developed Nikola Tesla's patented motor for generating alternating current. The work of Westinghouse, Tesla and others gradually persuaded American society that the future lay with AC rather than DC (Adoption of AC generation enabled the transmission of large blocks of electrical, power using higher voltages via transformers, which would have been impossible otherwise). Today the unit of measurement for magnetic fields commemorates Tesla's name.

James Watt

When Edison's generator was coupled with Watt's steam engine, large scale electricity generation became a practical proposition. James Watt, the Scottish inventor of the steam condensing engine, was born in 1736. His improvements to steam engines were patented over a period of 15 years, starting in 1769 and his name was given to the electric unit of power, the Watt.

Watt's engines used the reciprocating piston, however, today's thermal power stations use steam turbines, following the Rankine cycle, worked out by another famous Scottish engineer, William J.M Rankine, in 1859.

Andre Ampere and George Ohm

Andre Marie Ampere, a French mathematician who devoted himself to the study of electricity and magnetism, was the first to explain the electro-dynamic theory. A permanent memorial to Ampere is the use of his name for the unit of electric current.

George Simon Ohm, a German mathematician and physicist, was a college teacher in Cologne when in 1827 he published, "The galvanic Circuit Investigated Mathematically". His theories were coldly received by German scientists but his research was recognised in Britain and he was awarded the Copley Medal in 1841. His name has been given to the unit of electrical resistance.

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Electromagnetism is the branch of physics that studies the interaction between electric currents and magnetic fields. It explains how electricity generates magnetism and powers devices such as motors, generators, and transformers in modern electrical systems.

How Should We Define Electromagnetism?

Here's a good way to define electromagnetism: Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

✅ Explains the relationship between electricity and magnetism

✅ Governs the operation of motors, generators, and transformers

✅ Forms the basis for electromagnetic waves like light and radio

The electromagnetic force is carried by electromagnetic fields, which are composed of electric fields and magnetic fields, and it is responsible for electromagnetic radiation, such as light.

Who Discovered Electromagnetism?

In 1820, the Danish physicist, Hans Christian Oersted, discovered that the needle of a compass brought near a current-carrying conductor would be deflected. When the current flow stopped, the compass needle returned to its original position. This important discovery demonstrated a relationship between electricity and magnetism that led to the development of the electromagnet and to many of the inventions on which modern industry is based.

Oersted discovered that the magnetic field had no connection with the conductor in which the electrons were flowing, because the conductor was made of nonmagnetic copper. The electrons moving through the wire created the magnetic field around the conductor. Since a magnetic field accompanies a charged particle, the greater the current flow, the greater the magnetic field. Figure 1 illustrates the magnetic field around a current-carrying wire. A series of concentric circles around the conductor represents the field, which, if all the lines were shown, would appear more as a continuous cylinder of such circles around the conductor.

Fig. 1 - Magnetic field formed around a conductor in which current is flowing.

As long as current flows in the conductor, the lines of force remain around it. [Figure 2] If a small current flows through the conductor, there will be a line of force extending out to circle A. If the current flow is increased, the line of force will increase in size to circle B, and a further increase in current will expand it to circle C. As the original line (circle) of force expands from circle A to B, a new line of force will appear at circle A. As the current flow increases, the number of circles of force increases, expanding the outer circles farther from the surface of the current-carrying conductor.

Fig. 2 - Expansion of magnetic field as current increases.

If the current flow is a steady, nonvarying direct current, the magnetic field remains stationary. When the current stops, the magnetic field collapses, and the magnetism around the conductor disappears.

A compass needle is used to demonstrate the direction of the magnetic field around a current-carrying conductor. Figure 3 View A shows a compass needle positioned at right angles to, and approximately one inch from, a current-carrying conductor. If no current were flowing, the north-seeking end of the compass needle would point toward the Earth’s magnetic pole. When current flows, the needle lines itself up at right angles to a radius drawn from the conductor. Since the compass needle is a small magnet, with lines of force extending from south to north inside the metal, it will turn until the direction of these lines agrees with the direction of the lines of force around the conductor. As the compass needle is moved around the conductor, it will maintain itself in a position at right angles to the conductor, indicating that the magnetic field around a current-carrying conductor is circular. As shown in View B of Figure 3, when the direction of current flow through the conductor is reversed, the compass needle points in the opposite direction, indicating that the magnetic field has reversed its direction.

Fig.3 - Magnetic field around a current-carrying conductor.

A method for determining the direction of the lines of force when the direction of current flow is known is illustrated in Figure 4. If the conductor is grasped in the left hand, with the thumb pointing in the direction of current flow, the fingers will be wrapped around the conductor in the same direction as the lines of the magnetic field. This is called the left-hand rule.

Fig.4 - Left-hand rule.

Although it has been stated that the lines of force have direction, this should not be construed to mean that the lines have motion in a circular direction around the conductor. Although the lines of force tend to act in a clockwise or counterclockwise direction, they are not revolving around the conductor.

Since current flows from negative to positive, many illustrations indicate the current direction with a dot symbol on the end of the conductor when the electrons are flowing toward the observer and a plus sign when the current is flowing away from the observer. [Figure 5]

Fig. 5 - Direction of current flow in a conductor.

When a wire is bent into a loop and an electric current flows through it, the left-hand rule remains valid. [Figure 6]

Fig. 6 - Magnetic field around a looped conductor.

If the wire is coiled into two loops, many of the lines of force become large enough to include both loops. Lines of force go through the loops in the same direction, circle around the outside of the two coils, and come in at the opposite end. [Figure 7]

Fig. 7 - Magnetic field around a conductor with two loops.

When a wire contains many such loops, it is referred to as a coil. The lines of force form a pattern through all the loops, causing a high concentration of flux lines through the center of the coil. [Figure 8]

Fig. 8 - Magnetic field of a coil.

In a coil made from loops of a conductor, many of the lines of force are dissipated between the loops of the coil. By placing a soft iron bar inside the coil, the lines of force will be concentrated in the center of the coil, since soft iron has a greater permeability than air. [Figure 9] This combination of an iron core in a coil of wire loops, or turns, is called an electromagnet, since the poles (ends) of the coil possess the characteristics of a bar magnet.

Fig. 9 - Electromagnet.

The addition of the soft iron core does two things for the current-carrying coil. First, the magnetic flux increases, and second, the flux lines become more concentrated.

When direct current flows through the coil, the core becomes magnetized with the same polarity (north and south poles) as the coil would have without the core. If the current is reversed, the polarity will also be reversed.

The polarity of the electromagnet is determined by the left-hand rule in the same manner as the polarity of the coil without the core was determined. If the coil is grasped in the left hand in such a manner that the fingers curve around the coil in the direction of electron flow (minus to plus), the thumb will point in the direction of the north pole. [Figure 10]

Fig. 10 - Left-hand rule applied to a coil.

The strength of the magnetic field of the electromagnet can be increased by either increasing the flow of current or the number of loops in the wire. Doubling the current flow approximately doubles the strength of the field, and similarly, doubling the number of loops approximately doubles the magnetic field strength. Finally, the type of metal in the core is a factor in the field strength of the electromagnet.

A soft iron bar is attracted to either pole of a permanent magnet and, likewise, is attracted by a current-carrying coil. The lines of force extend through the soft iron, magnetizing it by induction and pulling the iron bar toward the coil. If the bar is free to move, it will be drawn into the coil to a position near the center where the field is strongest. [Figure 10-35]

Fig. 11 - Solenoid with iron core.

Electromagnets are utilized in various electrical instruments, including motors, generators, relays, and other devices. Some electromagnetic devices operate on the principle that an iron core, held away from the center of a coil, will be rapidly pulled into its center position when the coil is energized. This principle is utilized in the solenoid, also known as a solenoid switch or relay, where the iron core is spring-loaded off-center and moves to complete a circuit when the coil is energized. 

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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. 

Inductance is the property of an electrical circuit that resists changes in current by storing energy in a magnetic field. It underpins transformers, motors, inductors, and AC power systems, making it essential in the field of electrical engineering.

What is Inductance?

Inductance is a fundamental electrical property that describes how circuits resist changes in current flow by generating a magnetic field.

✅ Opposes changes in current by storing energy in a magnetic field

✅ Measured in henrys (H), used in inductors and transformers

✅ Essential in AC power systems, filters, and motor design

This principle is central to electromagnetic induction and underlies many devices in modern power and electronics.

The principle of inductance was first discovered by Michael Faraday, who showed that moving a magnet through a coil of wire induced a voltage across the coil. This discovery, known as Faraday’s Law, explains the phenomenon of electromagnetic induction. Heinrich Lenz later refined this understanding, demonstrating that the induced voltage always acts to oppose the change that created it — a principle now known as Lenz’s Law. These discoveries underpin the operation of inductors, transformers, and motors.

Inductance occurs when a change in current flow is utilized to prevent signals with a higher frequency component from passing, while allowing signals with lower frequency components to pass. This is why inductors are sometimes referred to as "chokes," as they effectively block higher frequencies. A common application of a choke is in a radio amplifier biasing circuit, where the collector of a transistor needs to be supplied with a DC voltage without allowing the RF (radio frequency) signal to conduct back into the DC supply. To understand how inductance interacts with voltage changes in AC circuits, see our article on voltage.

To understand how inductance interacts with voltage changes in AC circuits, see our article on voltage.

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Imagine a wire 1,000,000 miles (about 1,600,000 kilometres) long. Imagine that we form this wire into a huge loop and then connect its ends to the terminals of a battery, as shown in Figure 1, to drive current through the wire. Inductors are often paired with capacitors in circuits, so it's helpful to review the basics of what is a capacitor and how they function.

If we used a short wire for this experiment, the current would begin to flow immediately and attain a level limited only by the resistance in the wire and the resistance in the battery. But because we have an extremely long wire, the electrons require some time to work their way from the negative battery terminal, around the loop, and back to the positive terminal. Therefore, it will take some time for the current to reach its maximum level. Since inductance is used to oppose changes in current, our guide on what is current electricity provides essential background.

The magnetic field produced by the loop will initially be small during the first few moments when current flows only in part of the loop. The field will build up as the electrons get around the loop. Once the electrons reach the positive battery terminal, allowing a steady current to flow around the entire loop, the magnetic field quantity reaches its maximum and levels off, as shown in Figure 2. At that time, we'll have a certain amount of energy stored in the magnetic field. The amount of stored energy will depend on the inductance of the loop, which depends on its overall size. We symbolize inductance, as a property or as a mathematical variable, by writing an italicized, uppercase letter L. Our loop constitutes an inductor. To abbreviate "inductor," we write an upper-case, non-italicized letter L.

Fig. 1. We can use a huge, imaginary loop of wire to illustrate the principle of inductance.

Counter EMF and the RL Time Constant

As current begins to flow in a conductor, the expanding magnetic field induces a counter-electromotive force (emf) that opposes the applied voltage. At the instant of starting, this counter emf nearly equals the source voltage, keeping the current flow small. As the magnetic field stabilizes, the counter emf weakens until the current reaches its maximum.

Because inductors resist changes in current, the current in an RL circuit cannot change instantly. The rate of change is governed by the time constant (τ):

• After one time constant, the current reaches approximately 63% of its maximum value.

• After 5 time constants, the current is essentially steady.

This exponential buildup parallels the charging process of capacitors in RC circuits.

Building Inductance with Coils and Cores

Obviously, we can't make a wire loop measuring anywhere near 1,000,000 miles in circumference. But we can wind fairly long lengths of wire into compact coils. When we do that, the magnetic flux for a given length of wire increases compared with the flux produced by a single-turn loop, increasing the inductance. If we place a ferromagnetic rod, called a core, inside a coil of wire, we can increase the flux density and further enhance the inductance. High-frequency signals blocked by inductors are often explained using the concept of impedance, detailed in our page on what is impedance.

We can achieve values of L many times greater with a ferromagnetic core than with a similar-sized coil having an air core, a solid plastic core, or a solid wooden core. (Plastic and dry wood have permeability values that differ little from air or a vacuum; engineers occasionally use these materials as coil cores or "forms" to add structural rigidity to the windings without significantly changing the inductance.) The current that an inductor can handle depends on the diameter of the wire. But the value of L also depends on the number of turns in the coil, the diameter of the coil, and the overall shape of the coil. Many circuits involve a balance between resistance and inductance, so reviewing what is electrical resistance will add depth to your understanding.

Key physical parameters that affect inductance include:

• Number of turns: inductance varies as the square of the turns.

• Cross-sectional area: a larger area increases inductance.

• Length of the coil: Longer coils reduce inductance.

• Core material: magnetic materials (iron, steel, nickel) concentrate flux and increase inductance.

If we hold all other factors constant, the inductance of a helical coil increases in direct proportion to the number of turns of wire. Inductance also increases in direct proportion to the diameter of the coil. If we "stretch out" a coil with a certain number of turns and a certain diameter while holding all other parameters constant, its inductance decreases. Conversely, if we "squash up" an elongated coil while holding all other factors constant, the inductance goes up. For insight into how inductors shape power quality, especially reactive power, read our overview of reactive power.

Self-Inductance

Even a straight conductor exhibits some inductance, but when the current in a coil changes, the change in the magnetic field induces a voltage across that same coil. This phenomenon is known as self-inductance, and it always opposes changes in current. The effect is central to the operation of inductors, transformers, and motor windings.

Normal and Abnormal Conditions

Under normal circumstances, the inductance of a coil (or any other type of device designed to function as an inductor) remains constant regardless of the strength of the signal we apply. In this context, "abnormal circumstances" refer to an applied signal so strong that the inductor wire melts or the core material overheats excessively. Good engineering sense demands that such conditions should never arise in a well-designed electrical or electronic system.

Fig. 2. Relative magnetic flux in and around a huge loop of wire connected to a current source, as a function of time.

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