Question

A 50 Hz AC current of crest value 1 A flows through the primary coil of a transformer. If the mutual inductance between the primary and secondary coil be 0.5 H, the crest voltage induced in the secondary is

• A. 75 V
• B. 150 V
• C. 100 V
• D. None of these

Answer 1

The correct option is C 100 V

Given : Frequency of AC $f=50$ Hz and $M=0.5$ H

The crest voltage in the secondary coil is:

$V_2=M\frac{di}{dt}$

$=0.5H\times \frac{2A}{1/(2\times 50Hz)}$

$=100V$