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Question

In the circuit shown in the figure, resistors X and Y, each with resistance R, are connected to a 6 V battery of negligible internal resistance. A voltmeter, also of resistance R, is connected across Y.


What is the reading of the voltmeter ?

A
zero
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B
between 0 and 3 V
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C
3 V
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D
between 3 V and 6 V
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Solution

The correct option is B between 0 and 3 V
The circuit may be redrawn as



From the diagram, current is given by

I=63R/2=4R

Therefore, current through the voltmeter is I/2 or 2/R.

So, the reading of the voltmeter is given by

V=I2×R=2R×R=2 V

Hence, option (b) is correct.
Why this question?If the resistance of voltmeter is comparablewith the resistances of the circuit, thenit will affect the current in the circuit.Ideally resistance of voltmeter is infinity.

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