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Question

Figure shows a copper rod moving with velocity v parallel to a long straight wire carrying current =100A. Calculate the induced emf in the rod, where v=5ms1,a=1cm,b=100cm.
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A
0.23mV
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B
0.46mV
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C
0.16mV
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D
0.32mV
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Solution

The correct option is D 0.46mV
forceonaparticleofunitchargeisF=vB=vμ0I2πxdW=FdxdW=vμ0I2πxdxW=EMF=vμ0I2πln(ba)=5×μ0×1002πn(1001)=0.46mV

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