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Inductance

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Inductance is a fundamental property of electrical conductors. It describes the tendency of a conductor to oppose any change in the electric current flowing through it. This phenomenon occurs because an electric current generates a magnetic field around the conductor. The strength of this magnetic field is directly tied to the magnitude of the current. When the current changes, the magnetic field changes as well. This change in the magnetic field triggers a process known as electromagnetic induction.

Waveforms - inductive reactance
Waveforms - inductive reactance

The mechanism of inductance follows a specific sequence of cause and effect. First, a current flows through a conductor and creates a magnetic flux. Magnetic flux is the total magnetic field passing through the circuit. If the current varies, the magnetic flux also changes. According to Faraday's law of induction, a changing flux induces an electromotive force, or EMF, within the circuit. This induced voltage is measured in volts. Lenz's law explains the direction of this voltage. It states that the induced voltage acts in a direction that opposes the change in current that created it. This specific type of voltage is called back EMF.

Mutually inducting inductors
Mutually inducting inductors

There are two primary types of inductance: self-inductance and mutual inductance. Self-inductance, often simply called inductance, is the effect of a conductor on itself. It is the ratio between the induced voltage and the rate of change of the current. Mutual inductance occurs when two or more circuits are located close to one another. In this case, the magnetic field of one circuit passes through the other. This allows a change in current in one circuit to induce a voltage in the nearby circuit. This principle of mutual inductance is the core mechanism behind how a transformer works.

Mutual inductance equivalent circuit
Mutual inductance equivalent circuit

The history of understanding these forces spans centuries. Ancient people observed static electricity and lightning, as well as magnetic attraction from lodestones. However, the scientific theory of electromagnetism was truly developed in the 19th century. In 1831, Michael Faraday first described electromagnetic induction. He used an iron ring with two wires wrapped around it to observe transient currents. He also demonstrated induction by sliding a bar magnet through a coil of wires. Later, in May 1884, Oliver Heaviside coined the term "inductance." He used it as a convenient way to refer to the "coefficient of self-induction."

We use specific units and symbols to measure and represent inductance. The symbol for inductance is often chosen to honor the physicist Heinrich Lenz. In the International System of Units (SI), the unit of inductance is the henry (H). This unit is named in honor of Joseph Henry, who discovered inductance independently of Faraday. One henry is defined as the amount of inductance that produces one volt of voltage when the current changes at a rate of one ampere per second.

Mutual inductance pi equivalent circuit
Mutual inductance pi equivalent circuit

Engineers use components called inductors to add inductance to electrical circuits. An inductor typically consists of a wire wound into a coil or a helix. A coiled wire has much higher inductance than a straight wire of the same length. This is because the magnetic field lines pass through the circuit multiple times, creating multiple flux linkages. The inductance of a coil is proportional to the square of the number of turns in the coil. To increase inductance even further, a ferromagnetic core can be placed in the center of the coil. A magnetic core can increase the inductance of a coil by thousands of times.

Mutually inducting inductors
Mutually inducting inductors

Inductance is also deeply connected to how energy is stored and moved. An inductor stores energy within its magnetic field. When current increases, charges in the circuit lose potential energy to build the magnetic field. If the current decreases, the magnetic field shrinks and returns that stored energy to the external circuit. In alternating current (AC) circuits, inductance creates a property called inductive reactance. This is the opposition an inductor offers to an alternating current. Inductive reactance increases as the frequency of the current increases. In an ideal inductor, the current lags the voltage by 90 degrees.

Waveforms - inductive reactance
Waveforms - inductive reactance
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File:Waveforms - inductive reactance.svg
Waveforms - inductive reactance.svg
File:Mutually inducting inductors.PNG
Mutually inducting inductors.PNG
File:Mutual inductance equivalent circuit.svg
Mutual inductance equivalent circuit.svg
File:Mutual inductance pi equivalent circuit.svg
Mutual inductance pi equivalent circuit.svg
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