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  4. A galvanometer of resistance 20Ω shows a deflection of 10 divisions. When current of 1 mA is passed through it. If a shunt of 4Ω is connected and there are 50 divisions on the scale, the range of the galvanometer is

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Q. A galvanometer of resistance $ 20\Omega $ shows a deflection of 10 divisions. When current of 1 mA is passed through it. If a shunt of $ 4\Omega $ is connected and there are 50 divisions on the scale, the range of the galvanometer is

VMMC MedicalVMMC Medical 2015

Solution:

Here, galvanometer current $ {{i}_{g}}=\frac{1mA}{10}\times 50=5mA $ $ S=4\Omega $ and $ G=20\Omega $ As, sheet $ S=\frac{{{i}_{g}}G}{i-{{i}_{g}}}\Rightarrow 4=\frac{5\times {{10}^{-3}}\times 20}{i-2\times {{10}^{-3}}} $ On solving, we get $ i=30\times {{10}^{-3}}=30mA $