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

Question

A 50 Hz AC current of crest value 1 A flows through the primary of a transformer. If the mutual inductance between the primary and secondary 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

Tardigrade Admin · Accepted Answer

d i=2-(1-1) =2 A d t =((1/100)) M =0.05 H e =M (d i/d t)=0.5((2/1 / 100))=0.5 × 2 × 100 e =100 V

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

75 V

150 V

100 V

None of these

$d i = 2 - (1 - 1) = 2 A$
$d t = (\frac{1}{100})$
$M = 0.05 H$
$e = M \frac{d i}{d t} = 0.5 (\frac{2}{1/100}) = 0.5 \times 2 \times 100$
$e = 100 V$

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