JEE Main · 2024 · 27 Jan 2024 · Shift 2 · Current Electricity

A current of

200 μ A

deflects the coil of a moving coil galvanometer through

6 0^{\circ}

. The current to cause deflection through

\frac{π}{10}

radian is :

Answer: (C)

Solution

In a moving-coil galvanometer, the deflecting torque due to current is balanced by the restoring torque of the suspension, giving

i \propto θ

. Converting

6 0^{\circ}

\frac{π}{3}

rad,

\frac{i _{2}}{i _{1}} = \frac{θ _{2}}{θ _{1}} = \frac{π /10}{π /3} = \frac{3}{10} .

i_{2} = 200 μ A \times \frac{3}{10} = 60 μ A

JEE Main · 2024 · 27 Jan 2024 · Shift 2 · Single correct option