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

Question

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 (A) 40 Ω (B) 25 Ω (C) 250 Ω (D) 500 Ω

Tardigrade Admin · Accepted Answer

Current sensitivity, (θ/i)=(5/10-3)=5000 ( div / A ) ⋅s (i) Voltage sensitivity, (θ/V)=20 ( operatornamediv/ V ) ........ (ii) (i) /( ii ), we get (θ / i/θ / V)=(5000/10)=250 ⇒ (V/i)=R=250 Ω

Q. Current sensitivity of a moving coil galvanometer is $5 d i v / m A$ and its voltage sensitivity (angular deflection per unit voltage applied) is $20 d i v / V$ . The resistance of the galvanometer is

$40 Ω$

$25 Ω$

$250 Ω$

$500 Ω$

Current sensitivity, $\frac{θ}{i} = \frac{5}{1 0 ^{- 3}} = 5000 \frac{d i v}{A} \dots$ (i)
Voltage sensitivity, $\frac{θ}{V} = 20 \frac{div}{V}$ ........ (ii)
(i) $/ (ii)$ , we get $\frac{θ / i}{θ / V} = \frac{5000}{10} = 250$
$\Rightarrow \frac{V}{i} = R = 250 Ω$

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

40Ω

25Ω

250Ω

500Ω