An a.c of $50 H z$ and $1 A$ peak value flow in the primary coil of a transformer. The mutual inductance between primary and secondary coils is $1.5 H$ . Then peak value of induced emf across secondary coil is ______________.

75 π v o l t

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150 π v o l t

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225 v o l t

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300 v o l t

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Solution

The correct option is A $150 π v o l t$
B. $150 π . v o l t$
Given,
An a.c
$f = 50 H z$
$I_{o} = 1 A$
$M = 1.5 H$
The current flow in the primary coil of a transformer.
$I = I_{0} s i n (w t)$
$I = 1 A s i n (100 π t)$
The induced emf across secondary coil,
$E = - M \frac{d I}{d t}$
$E = - M I_{o} w c o s (100 π t)$
The peak value of induced emf is,
$E o = M I_{o} w$
$= 1.5 \times 1 \times 100 π$
$E o = 150 π . v o l t$

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An a.c of 50Hz and 1A peak value flow in the primary coil of a transformer. The mutual inductance between primary and secondary coils is 1.5H. Then peak value of induced emf across secondary coil is ______________.

An a.c of $50 H z$ and $1 A$ peak value flow in the primary coil of a transformer. The mutual inductance between primary and secondary coils is $1.5 H$ . Then peak value of induced emf across secondary coil is ______________.