Questions

Figure shows a copper rod moving with velocity v parallel to a long straight wire carrying current = 100 A. Calculate the induced emf in the rod, where v= 5 m s^-1 , a= 1 cm, b = 100 cm

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0.23 mV

0.46 mV

0.16 mV

0.32 mV

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detailed solution

Correct option is B

Let there be an element dx of rod at a distance x from the wire.emf developed in the element, dE = B dx v∴ dE=μ04π2Ixdxv∴ E=μ0Iv2π∫ab dxx=μ0Iv2πloge⁡ba∴ E=4π×10−7×100×52πloge⁡1001=4.6×10−4V=0.46mV

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