Current sensitivity of a moving coil galvanometer is 5 div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is 20 div/V. The resistance of the galvanometer is [2018]

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Solution

Q.
Current sensitivity of a moving coil galvanometer is 5 div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is 20 div/V. The resistance of the galvanometer is [2018]

1 40 $Ω$

2 25 $Ω$

3 250 $Ω$

4 500 $Ω$

Ans.
(3)

Let N = number of turns in galvanometer, A = Area,

B = magnetic field

$k$ = the restoring torque per unit twist.

Current sensitivity, $I_{S} = \frac{N B A}{k}$

Voltage sensitivity, $V_{S} = \frac{N B A}{k R_{G}}$

So, resistance of galvanometer

$R_{G} = \frac{I_{S}}{V_{S}} = \frac{5 \times 1}{20 \times 10^{- 3}} = \frac{5000}{20} = 250$ $Ω$

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