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Question

An equilateral triangle ABC of side a is placed in the magnetic field with side AC and its centre coinciding with the centre of the magnetic field. The magnetic field varies with time as B=ct. The electromotive force induced across side AB is:-
1086264_f9d55806814c42bda0e5c87b82609f23.png

A
34a2c
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B
zero
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C
a2c43
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D
(21)4a2c
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Solution

The correct option is C a2c43
Consider a circle increasing triangle ABC
rcos30o=a2
r=32=92
r=43
E.2πr=πr2.(dBDt)
E.2=rc
E=rc2=ac23
therefore(E.cos30o)×a=(VAVB)
(VAVB)=ac23.12.a
=a2c43
Hence, option C is correct answer.
1380166_1086264_ans_62685bd291d34e2f902fa0c81c0987b9.png

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