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Q.

A conducting rod of length l is moving on a horizontal smooth surface. Magnetic field in the region is vertically downward and of magnitude Bo. If centre of mass (COM) of the rod is translating with velocity Vo and rod rotates about COM with angular velocity vo/l, hen potential difference between points O and A will be

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a

58B0v0l

b

38B0v0l

c

18B0v0l

d

12B0v0l

answer is A.

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Detailed Solution

v=v0+ωx=v0+v0lx due to mutual induction∫de=∫Bvdxe=∫0l/2Bv0+v0xldx=58B0v0l
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A conducting rod of length l is moving on a horizontal smooth surface. Magnetic field in the region is vertically downward and of magnitude Bo. If centre of mass (COM) of the rod is translating with velocity Vo and rod rotates about COM with angular velocity vo/l, hen potential difference between points O and A will be