Q.

A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform magnetic field  B = 4.0 T directed into the paper. A capacitor of capacity C = 10 μF is connected as shown in figure. Then

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a

qA=+80μC and qB=−80μC

b

qA=−80μC and qB=+80μC

c

qA=0=qB

d

Charge stored in the capacitor increases exponentially with time

answer is A.

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Detailed Solution

Q=CV=C(Bvl)=10×10−6×4×2×1=80μCAccording to Fleming's right hand rule induced current flows from Q to P. Hence P is at higher potential and Q is at lower potential. Therefore A is positively charged and B is negatively charged.
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