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Q.

Consider a magnetic field which is applied normal to the, plane consisting of a circuit of area 10−2m2 and resistance 2 Ω. In 1 ms duration, if the magnetic field changes from 2 T to 1 T, the find the rate of heat evolved:

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a

5 J/s

b

50 J/s

c

0.05 J/s

d

0.5 J/s

answer is B.

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Detailed Solution

Induced emf, e=−dϕdt ⇒e=−ϕ2−ϕ1t=−(0.01−0.02)1×10−3e=0.01×103=10 volt. V=IR or 102=I∴I=5ARate of heat evolved=I2R=(5)2×2=25×2=50J/s
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