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A rod \( O A \) of length \( l \) is rotating (about end \( O \) ) over a conducting ring in crossed magnetic field \( B \) with
\( \mathrm{P} \) constant angular velocity \( \omega \) as shown in figure

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(1) Current flowing through the rod is \( \frac{B \omega \ell^{2}}{R} \)
(2) Magnetic force acting on the rod is \( \frac{3 B^{2} \omega \ell^{3}}{4 R} \)
(3) Torque due to magnetic force acting on the \( \operatorname{rod} \) is \( \frac{3 B^{2} \omega \ell^{4}}{8 R} \)
(4) Magnitude of external force that acts \( x \) perpendicularly at the end of the rod to maintain the constant angular speed is
\[
\frac{3 B^{2} \omega \ell^{3}}{5 R}
\]
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