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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 = 0 = qB

b

Charge stored in the capacitor increases exponentially with time

c

qA = – 80 \muC and qB = + 80 \muC

d

qA = + 80 \muC and qB = – 80 \muC

answer is A.

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Detailed Solution

Q = CV = C (Bvl) = 10 x 10-6 x 4 x 2 x 1 = 80 μC. According 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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