State whether the following statement is true or false:

Self inductance is numerically equal to the emf induced in coil when current changes at a rate of 1 Ampere per second.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: Inductance is a component property that resists the change in current passing through it, and even a straight piece of wire has some inductance.
Inductors accomplish this by producing a self-induced emf as a result of their fluctuating magnetic field. Self-induction occurs in an electrical circuit when the emf is induced in the same circuit where the current is changing.
Magnetic field gives rise to magnetic flux

passing through each turn in the coil. Coil having

turns will have flux

.
Magnetic field is proportional to the current i flowing through the coil and so is the flux.

is the self inductance.
Now lets consider the current to change in the coil with time which changes the flux as well.
So this rate of change of flux induces an emf (e) by Farady's law of electromagnetic induction.

we have,

Thus self inductance is numerically equal to the emf induced in coil when current changes at a rate of 1 Ampere per second.
Hence, the given statement is true.

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