Electromagnetic Induction Ques 26

26. A rectangular coil of $20$ turns and area of crosssection $25$ $sq.$ $cm$ has a resistance of $100$ $ \Omega$. If a magnetic field which is perpendicular to the plane of coil changes at a rate of $1000$ tesla per second, the current in the coil is

[1992]

(a) $1 $ $A$

(b) $50 $ $A$

(c) $0.5 $ $A$

(d) $5 $ $A$

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Answer:

Correct Answer: 26.(c)

Solution:

  1. (c) $i=\frac{e}{R}=\frac{\frac{n A d B}{d t}}{R}$

$=\frac{20 \times(25 \times 10^{-4}) \times 1000}{100}=0.5$ $ A$