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Engineering ToolBox > Inductance

Electro magnetic field - e.m.f. - induced into a circuit

Inductance is the property of a circuit when there is an electro magnetic field - e.m.f. - induced into the circuit by the change of flux linkages produced by a current change.

The unit of inductance is henry - H - where a circuit has an inductance of one henry when an e.m.f. of one volt is induced by a current changing at the rate of one ampere per second.

Induced electromagnetic field - e.m.f. - in a coil can be expressed as

E = -n dΦ / dt (1)

where

E = electromagnetic field - e.m.f. (Volts)

n = turns

dΦ = change in flux (Webers, Wb)

dt = time (s)

Alternatively, induced electromagnetic field - e.m.f. - in a coil of inductance L henrys can be expressed as

E = -L dI / dt (1)

where

L = inductance (henrys, H)

dI = change in current (Amperes)

dt = time (s)

Example - Inductance

The e.m.f. induced in a coil of 500 turns when there is a change of flux of 30 mWb linking with it in 30 ms can be calculated as

E = -500 30x10-3 (Wb) / 30x10-3 (s) 

    = -500 Volts

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