ODBAC is a fixed rectangular conductor of negilible resistance \( \...

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ODBAC is a fixed rectangular conductor of negilible resistance
\( \mathrm{P} \) (CO is not connnected) and OP is a conductor which rotates

W clockwise with an angular velocity \( \omega \) (Fig The entire system is in a uniform magnetic field \( \mathbf{B} \) whose direction is along the normal to the surface of the rectangular conductor ABDC. The conductor \( \mathrm{OP} \) is in electric contact with ABDC. The rotating conductor has a resistance of \( \lambda \) per unit length. Find the current in the rotating conductor, as it rotates by \( 180^{\circ} \).
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