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.

Question

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.

Infinity Learn · Accepted Answer

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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