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A wire is bent in the form of V shape and placed in a horizontal plane. There exists a uniform magnetic field B perpendicular to the plane of the wire. A uniform connecting rod starts sliding over the V shaped wire with a constant speed v as shown in the figure. If the wire has no resistance, the current in the rod will

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increase with time

always be zero

decrease with time

remain constant

answer is C.

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Detailed Solution

$i = \frac{B v l}{R}$

Let $λ =$ resistance per unit length of conducting rod, then

$i = \frac{B v l}{λ l} = \frac{B v}{λ} = constant$

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