# Q-Ans/Prob-Sol

Question with Answer or Problem with Solution

A circular coil is formed from a wire of length $L$ with $n$ turns. The coil carries a current $I$ and is placed in an external uniform magnetic field $B$. Show that maximum torque developed is $\displaystyle\frac{IBL^2}{4n\pi}$.

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Approaching the problem of electric field for a uniformly charged sphere in two different ways, find the value of the integral \begin{equation} \vec{\mathcal E} = \frac{1}{4\pi\epsilon_0} \iiint d^3r\Prime \frac{(\vec{r}-\vec {r}\Prime) } {|\vec{r}-\vec{r}\Prime|^3}. \end{equation} where the integral runs over the volume of a sphere of radius \(R\).

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