Heating Effect of Current and Electrical Measuring Instruments | Physics JEE previous year questions with Solutions

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Q 21 :

When a resistance of 5 $Ω$ is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA; however, when 1050 $Ω$ resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of the galvanometer is ______ $Ω$ . [2023]

0%

(50)

$\frac{250 mA \times 5}{5 + R_{G}} = i$ ...(i)

$i = \frac{25}{1050 + R_{G}}$ ...(ii)

$From (i) and (ii),$

$\frac{25}{1050 + R_{G}} = \frac{5}{4 (5 + R_{G})}$

$100 (5 + R_{G}) = 1050 \times 5 + R_{G} \times 5$

$95 R_{G} = 4750 \Rightarrow R_{G} = 50 Ω$

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