A moving coil of a galvanometer when shunted with 2Ω resistance gives a full scale deflection for a current of 500 mA . When a resistance of 470Ω is connected in series it gives a full scale deflection for 10 V potential applied on it. The value of resistance of galvanometer coil is Ω .

Physics · Current Electricity

JEE Main 2026 — 6 April, Evening Shift — Question 18

A moving coil of a galvanometer when shunted with $2\Omega$ resistance gives a full scale deflection for a current of $500\mathrm{mA}$ . When a resistance of $470\Omega$ is connected in series it gives a full scale deflection for $10\mathrm{V}$ potential applied on it. The value of resistance of galvanometer coil is $\Omega$ .

Answer: 50

Numerical answer — enter this value.

Step-by-step solution

Let $R_g$ be galvanometer resistance, $I_g$ full scale current. Shunt case: $I_g R_g = 2(0.5 - I_g)$ . Series case: $10 = (R_g + 470)I_g$ . Solving gives $R_g = 50\Omega$ .

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Exam: JEE Main 2026
Paper: 6 April, Evening Shift
Subject: Physics
Chapter: Current Electricity
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Step-by-step solution

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