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Q. In a moving coil galvanometer the deflection $\left(\phi\right)$ on the scale by a pointer attached to the spring is

Moving Charges and Magnetism

Solution:

Since magnetic torque on the coil, $\tau =NIAB$
This torque is balanced by counter torque
$\therefore k\phi =NIAB$ or $(\phi=\frac{NAB}{K})I$
where $k$ is torsional constant. It is a scalar quantity having dimension of torque or energy i.e. $[ML^{2}T^{-2}]$