A circular coil having 200 turns, 2.5 × 10^-4 m^2 area and carrying 100 μ A current is placed in a uniform magnetic field of 1 T. Initially the…

A circular coil having $\displaystyle 200$ turns, $\displaystyle 2.5 \times 10^{-4} \mathrm{~m}^2$ area and carrying $\displaystyle 100 \mu \mathrm{~A}$ current is placed in a uniform magnetic field of $\displaystyle 1$ T . Initially the magnetic dipole moment $\displaystyle (\vec{M})$ was directed along $\displaystyle \vec{B}$. Amount of work, required to rotate the coil through $\displaystyle 90^{\circ}$ from its initial orientation such that $\displaystyle \vec{M}$ becomes perpendicular to $\displaystyle \vec{B}$, is $\displaystyle \_\_\_\_$ $\displaystyle \mu \mathrm{J}$.