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Q.

A flat circular coil of radius 0.7cm has 100 loops.  It is placed in a magnetic filed of induction 0.3T so that no flux passes through it.  It is rotated such that maximum flux passes through it in 0.02s.  Then induced emf in the coil is

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a

0.15V

b

0.73V

c

0.23V

d

4.14V

answer is C.

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Detailed Solution

r=0.7cm=7×10−3m; N=100 B=0.3T  and ϕ1=0Coil is rotated sot that maximum flux passes through the coil in t=2×10−2se=Ndϕdt=Nϕt=BANte=0.3×227×(7×10−3)2×1002×10−2=0.23V
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