Question

Two coils A and B have mutual inductance $2\times {10}^{-2}$ henry. If the current in the primary is $i=5sin\left(10\pi t\right)$, then the maximum value of e.m.f. induced in coil B is :

Answer 1

Given,

$M=2\times {10}^{-2}H$

Current in primary coil A,

$i=5sin\left(10\pi t\right)$

The emf induced in coil B,

$e=-M\frac{di}{dt}$

$e=-M\times 5\times 10\pi cos\left(10\pi t\right)$

$e=-2\times {10}^{-2}\times 50\pi cos\left(10\pi t\right)$

The maximum value of emf induced in coil B is

$e_{max}=\pi$