Current sensitivity of a moving coil galvanometer is 5 ,div/mA an… - Vidyadip

MCQ

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 ................. $\Omega$

A
$40$
B
$25$
C
$500$
✓
$ 250$

✓

Answer

Correct option: D.

$ 250$

d
Current sensitivity

$\mathrm{I}_{\mathrm{s}}=\frac{\mathrm{NBA}}{\mathrm{c}}$

Voltage sensitivity

$\mathrm{v}_{\mathrm{s}}=\frac{\mathrm{NBA}}{\mathrm{CR}_{\mathrm{G}}}$

So, resistance of galvanometer

$R_{G}=\frac{l_{s}}{V_{s}}=\frac{5 \times 1}{20 \times 10^{-3}}=\frac{5000}{20}=250\, \Omega$

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