Q.

A coil has 2000 turns and area of  70cm2. The magnetic field perpendicular to the plane of the coil is 0.3 Wb/m2 and takes 0.1sec to rotate through  180o. The value of the induced e.m.f. will be

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a

8.4 V

b

84 V

c

42 V

d

4.2 V

answer is B.

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Detailed Solution

e=−NBAcos⁡θ2−cos⁡θ1Δt=−2000×0.3×70×10−4(cos⁡180−cos⁡0)0.1⇒e=84V
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A coil has 2000 turns and area of  70cm2. The magnetic field perpendicular to the plane of the coil is 0.3 Wb/m2 and takes 0.1sec to rotate through  180o. The value of the induced e.m.f. will be