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When a resistance of 5 Ω is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA, however when 1050 Ω resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is ______ Ω.

Asked in JEE Main 13th April 1st Shift 2023 · Conversion to ammeter and voltmeter

Answer: 50

Step-by-step solution

Shunt: I_g G = (0.25 - I_g) × 5, so I_g = (1.25)/(G + 5).

Series: I_g(1050 + G) = 25.

1.25(1050 + G) = 25(G + 5), so 23.75G = 1187.5.

G = 50 Ω.

→ 50

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