Question

How will you define the unit of inductance?

Answer 1

Inductance is a scalar and its unit is Wb A^-1 or V s A^-1. It is also measured in henry (H).

1 H = 1 Wb A^-1 = 1 V s A^-1

The dimensional formula of inductance is M L² T^-2A^-2.

If i = 1 A and NΦ_B = 1 Wb turns, then L = 1 H.

Therefore, the inductance of the coil is said to be one henry if a current of 1 A produces unit flux linkage in the coil.

If `"di"/"dt"` = 1 As^-1 and ε = -1 V, then L = 1 H.

Therefore, the inductance of the coil is one henry if a current changing at the rate of 1 A s^-1 induces an opposing emf of 1 V in it.