As shown in the figure, the voltmeter reads 2 V across 5 resistor. The resistance of the voltmeter is ______ . [2023]

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Solution

Q.
As shown in the figure, the voltmeter reads 2 V across 5 $Ω$ resistor. The resistance of the voltmeter is ______ $Ω$ . [2023]

Ans.
(20)

$i_{1} = \frac{2 V}{5 Ω} = \frac{2}{5} A$

$i = \frac{1 V}{2 Ω} = \frac{1}{2} A$

$∴$ $Current through voltmeter = i - i_{1}$

$= \frac{1}{2} - \frac{2}{5} = \frac{5 - 4}{10} = \frac{1}{10} A$

$∴$ $For voltmeter 2 = (\frac{1}{10}) R \Rightarrow R = 20 Ω$

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