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A moving coil galvanometer gives a full scale deflection of 30 when connected in a circuit. When a resistance of $20 Ω$ is connected in parallel with the galvanometer the deflection of the galvanometer reduces to 20 . What is the resistance of the galvanometer:

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$10 Ω$

$40 Ω$

$30 Ω$

$20 Ω$

answer is A.

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Detailed Solution

Deflection $ϕ \propto I$

After connection of $20 Ω$ shunt

$\begin{array}{l} 20 R_{g} = 10 \times 20 \\ R_{g} = 10 Ω \end{array}$

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