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Question: A conducting rod of resistance r moves uniformly with a constant speed v. If the rod keeps moving un...

A conducting rod of resistance r moves uniformly with a constant speed v. If the rod keeps moving uniformly, then the amount of force required is –

A

vB2l2R\frac{vB^{2}\mathcal{l}^{2}}{R}

B

2vB2l2(R+r)\frac{2vB^{2}\mathcal{l}^{2}}{(R + r)}

C

vB2l2(R+r)\frac{vB^{2}\mathcal{l}^{2}}{(R + r)}

D

Zero

Answer

vB2l2(R+r)\frac{vB^{2}\mathcal{l}^{2}}{(R + r)}

Explanation

Solution

F = IlB

= vBl(R+r)\frac{vB\mathcal{l}}{(R + r)}lB

= vB2l2(R+r)\frac{vB^{2}\mathcal{l}^{2}}{(R + r)}