A uniform magnetic field $20 T$ exists in a gravity free space all over the space on right side of the shown boundary. The given circular arc of radius $2 c m$ made of conducting wire of total resistance $4 Ω$ is rotated around point O at a constant angular speed 2 rad per second. Power required (in $μ W$ ) to maintain the constant angular velocity between time interval $t = \frac{π}{6} s$ to $t = \frac{π}{3} s$ is.

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answer is 16.

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Detailed Solution

$P = \frac{{(\frac{B ω r^{2}}{2})}^{2}}{R} = \frac{{(\frac{20 \times 2 \times 2^{2} \times 10^{- 4}}{2})}^{2}}{4} = 16 μ W$

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