A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per - Physics MCQ AIEEE 2026 | ExamTest.live

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A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be:

Solution & Step-by-step Explanation

1. Full scale deflection current (I_{g}): I_{g} = \frac{Total divisions}{Current sensitivity} = \frac{150}{10 div/mA} = 15 mA = 0.015 A 2. Full scale deflection voltage (V_{g}): V_{g} = \frac{150}{2 div/mV} = 75 mV = 0.075 V 3. Resistance of galvanometer (G): G = \frac{V _{g}}{I _{g}} = \frac{0.075}{0.015} = 5 Ω 4. To make each division read 1 V, full scale voltage V = 150 \times 1 V = 150 V . V = I_{g} (G + R) 150 = 0.015 (5 + R) 10000 = 5 + R ⟹ R = 9995 Ω

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A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be:

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9995

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