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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 neededto maintain constant speed of EF is(neglect the weight of conductor)

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a

1vRμ0Iv2πln⁡ba2

b

μ0Iv2πln⁡ba 1vR

c

μ0Iv2πln⁡ba2vR

d

vRμ0Iv2πln⁡ba2

answer is A.

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Detailed Solution

Induced emf ∫ab Bvdx=∫ab μ0I2πxvdx⇒ Induced emf, E=μ0Iv2πln⁡ba⇒ Power dissipated =E2R Also, power =F⋅v⇒F=E2vRF=μ0Iv2πln⁡ba21vR

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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 neededto maintain constant speed of EF is(neglect the weight of conductor)