Question

In an experiment, two coils c₁ and c₂ are placed close to each other. Find out the expression for the emf induced in the coil c₁ due to a change in the current through the coil c₂.

Answer 1

Suppose that a current I is flowing through the coil c₂ at any instant. Flux linked with the coil c₁ is given by

Φ ∝ I

Φ = MI             ….. (i)

Where M is called coefficient of mutual induction

If ‘e’ is the induced emf produced in the coil c₁, then

`e=(dphi)/dt=-d/(dt)(MI)=-M(dI)/dt`