Current Electricity Question 10

Question 10 - 2024 (27 Jan Shift 2)

A current of $200 \mu \mathrm{A}$ deflects the coil of a moving coil galvanometer through $60^{\circ}$. The current to cause deflection through $\frac{\pi}{10}$ radian is :

(1) $30 \mu \mathrm{A}$

(2) $120 \mu \mathrm{A}$

(3) $60 \mu \mathrm{A}$

(4) $180 \mu \mathrm{A}$

Show Answer

Answer: (3)

Solution:

$\mathrm{i} \propto \theta$ (angle of deflection)

$\therefore \frac{i_{2}}{i_{1}}=\frac{\theta_{2}}{\theta_{1}} \Rightarrow \frac{i_{2}}{200 \mu \mathrm{A}}=\frac{\pi / 10}{\pi / 3}=\frac{3}{10}$

$\Rightarrow \mathrm{i}_{2}=60 \mu \mathrm{A}$