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  4. The deflection in a moving coil galvanometer is reduced to half when it is shunted with a 40 Ω coil. The resistance of the galvanometer is

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Q. The deflection in a moving coil galvanometer is reduced to half when it is shunted with a $40\, \Omega$ coil. The resistance of the galvanometer is

KCETKCET 2011Moving Charges and Magnetism

Solution:

We know, $\frac{I_{G}}{I}=\frac{1}{2}$
$\frac{S}{G+S}=\frac{1}{2}$
$\frac{I_{G}}{I}=\frac{40}{G+40}= \frac{1}{2}$
$G=40\, \Omega$