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Q.

PQ is an infinite current carrying conductor. AB and CD are smooth conducting rods on which a conductor EF moves with constant velocity v as shown. The force needed to maintain constant speed of EF is

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a

[μ0Iv2πln(ab)]21vR

b

[μ0Iv2πln(ba)]2vR

c

1vR[μ0Iv2πln(ba)]2

d

vR[μ0Iv2πln(ab)]2

answer is A.

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Detailed Solution

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Induced emf  0bBvdx=abμ0I2πxvdx
 induced emf,  E=μ0Iv2πln(ba)
power dissipated  =E2R
Also, power  =F.VF=E2vR
F=[μ0Iv2πln(ba)]21vR
 

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