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Give the summary of the text. Inductance is the property of an electrical circuit causing voltage to be generated proportional to the rate of change in current in a circuit




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Inductance is the property of an electrical circuit causing voltage to be generated proportional to the rate of change in current in a circuit. This property also is called self inductance to discriminate it from mutual inductance, describing the voltage induced in one electrical circuit by the rate of change of the electric current in another circuit.

The quantitative definition of the self inductance of an electrical circuit in SI units (weber’s per ampere, known as henries) is

where v denotes the voltage in volts and i the current in amperes. This is a linear relation between voltage and current akin to Ohm's law, but with an extra time derivate. The simplest solutions of this equation are a constant current with no voltage or a current changing linearilly in time with a constant voltage.

The term ‘inductance’ was coined by Oliver Heaviside in February 1886. It is customary to use the symbol for inductance, possibly in honour of the physicist Heinrich Lenz. The SI unit of inductance is the henry ( ), named after American scientist and magnetic researcher Joseph Henry. .

Inductance is caused by the magnetic field generated by electric currents according to Ampere's law. To add inductance to a circuit, electronic components called inductors are used, typically consisting of coils of wire to concentrate the magnetic field and to collect the induced voltage. This is analogous to adding capacitance to a circuit by adding capacitors. Capacitance is caused by the electric field generated by electric charge according to Gauss's law.


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