Question

The mutual inductance between two coils is 2.5 H. If the current in one coil is changed at the rate of 1 As⁻¹, what will be the emf induced in the other coil?

Answer 1

Given:-

Mutual inductance between the coils, M = 2.5 H

Rate of change of current in one coil,

`(di)/(dt)=1 "As"^-1`

The flux in the coil due do another coil carrying current i is given by

ϕ = Mi

The emf induced in the second coil due to change in the current in the first coil is given by

\[e = \frac{d\phi}{dt}\]

\[ \Rightarrow e = \frac{d(Mi)}{dt} = M\frac{di}{dt}\]

\[ \Rightarrow e = 2 . 5 \times 1 = 2 . 5  V\]