A rod has a total charge \( Q \) uniformly distributed along its le...

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A rod has a total charge \( Q \) uniformly distributed along its length \( L \). If the rod rotates with angular velocity \( \omega \) about its end, compute its magnetic moment
(1) \( \frac{Q \omega L^{2}}{6} \)
(2) \( \frac{Q \omega L^{2}}{3} \)
(3) \( \frac{Q \omega L^{2}}{4} \)
(4) \( \frac{Q \omega L^{2}}{2} \)
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