A coil having 500 square loops each of side 10 cm is placed normal to a magnetic field which increases at the rate of $1 T s^{- 1}$ . The induced e.m.f. is

0.1 V

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5.0 V

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0.5 V

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1.0 V

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Solution

The correct option is B 5.0 V
Given:
No. of turns, $N = 500$
Side of square loop, $l = 10 c m = 0.1 m$
Rate of change of magnetic field, $\frac{d B}{d t} = 1 T s^{- 1}$
$E m f = \frac{d}{d t} (N B A)$
$\Rightarrow E m f = N A \frac{d B}{d t}$
$\Rightarrow E m f = 500 \times 0.1 \times 0.1 \times 1$
$\Rightarrow E m f = 5.0 V$
Hence the option is $(B)$

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A coil having 500 square loops each of side 10 cm is placed normal to a magnetic field which increases at the rate of 1 T s−1. The induced e.m.f. is

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