The deflection in moving coil galvanometer falls from 25 divisions...

The deflection in moving coil galvanometer falls from

25

divisions to

5

division when a shunt of

24Ω

is applied. The resistance of galvanometer coil will be: The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied. The

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied. The

Options

A $12Ω$
B $96Ω$
C $48Ω$
D $100Ω$

Correct answer

B. $96Ω$

Step-by-step solution

Let $x$ represents the current per division though the galvanometer.

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied. The

After applying shunt

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied. The

Now, if $G$ is the galvanometer resistance, from the above figure, it can be written that

$5x \times G = 20x \times 24 ⇒ G = 4 \times 24 ⇒ G = 96Ω$

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