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Ohm's Law in Scalar Form

In the circui...

Question

In the circuit shown below,the reading of the voltmeter $V$ is

12 V

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8 V

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20 V

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16 V

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Solution

The correct option is A $12 V$
Let us assume voltmeter is ideal:-It means voltmeter has infinite resistance and current will not flow in voltmeter.
$R_{e q}$ in upper branch = $R_{e q}$ in lower branch. So current will get equally divide into both branches.
$V_{A} - V_{B} = 4 \times 1 (1) V_{A} - V_{D} = 16 \times 1 (2)$
Subtract 2 and 1
$V_{B} - V_{D} = 12 V$
A voltmeter will read 12 V

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