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 emf. is?

0.1V

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5.0V

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0.5V

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1.0V

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Solution

The correct option is B
5.0V

Step1: Given:
number of coil turns= 500
Side of square loop= L=10cm=0.1m
Rate of change of magnetic field $\frac{dB}{dt} = 1 {Ts}^{- 1}$
Step2:Formula used:
$E M F = d (N B A) / d t$
$E M F = N A d B / d t$
Where ,EMF is induced emf
A = area
EMF= $500 \times 0.1 \times 0.1 \times 1$
EMF = 5.0 V
Hence, The induced emf. is $5.0 V$ . So option B is correct.

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