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Q.

A metal wire PQ of mass 10 gm lies at rest on two horizontal metal rails separated by 5 cm. A vertically downward magnetic field of magnitude 0.800 T exists in the pace. The resistance of the circuit is slowly decreased and it is found that when the resistance goes below 20 Ω, the wire PQ starts sliding on the rails . Find the coefficient of friction.

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a

0.12

b

0.21

c

0.14

d

0.13

answer is A.

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Detailed Solution

The wire starts sliding when magnetic force on the wire overcomes frictional forceF=μN ⇒Bil=μmg ⇒μ=BERlmg=0.8×6×0.050.01×10×20=0.12

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A metal wire PQ of mass 10 gm lies at rest on two horizontal metal rails separated by 5 cm. A vertically downward magnetic field of magnitude 0.800 T exists in the pace. The resistance of the circuit is slowly decreased and it is found that when the resistance goes below 20 Ω, the wire PQ starts sliding on the rails . Find the coefficient of friction.