In a transformer

PHYSICS · Multi-part · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

In a transformer, the current in the primary varies sinusoidally as

I_p = I_0 \sin \omega t

. (i) Derive an expression for the instantaneous emf induced in the secondary in terms of

M

I_0

\omega

and

t

. (ii) Hence obtain the rms value of this induced emf. (iii) A transformer has mutual inductance

0.45\,\text{H}

. The amplitude of the primary current is

4.0\,\text{A}

and its frequency is

50\,\text{Hz}

. Calculate (a) the peak value and (b) the rms value of the emf induced in the secondary.