A 50 Hz a.c. current of crest value 1A flows through the primary of a transformer. If the mutual inductance between the primary and secondary will be `1.5 H`, the crest voltage induced in secondary is-

Options

A. 75 V
B. 150 V
C. 100 V
D. none of these

Answer

C

Explanation

When ac current changes from positive maximum value to negative max. value, then
Time taken, `dt = (T)/(2) = (1)/(2 v) = (1)/(2 xx 50) = (1)/(100) s`
`e = M (dI)/(dt) = 0.5 xx ((2)/(1//100)) = 100 V`