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A frame CDEF is placed in a region where a magnetic field $\vec{B}$ is present. A rod of length one metre moves with constant velocity 20 m/s and strength of magnetic field is one tesla. The power spent in the process is (take $R = 0.2 Ω$ and all other wires and rod have zero resistance)

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2 kW

3 kW

4 kW

1 kW

answer is B.

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Detailed Solution

$e = \frac{Blv}{R}$
$Power = \frac{e^{2}}{R}$
$= \frac{B^{2} l^{2} v^{2}}{R} = \frac{1^{2} 1^{2} \times 20^{2}}{0.2} = \frac{4000}{2} = 2000 W = 2 KW$

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