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The current in a conductor and the poten...

The current in a conductor and the potential difference across its ends are measured by an ammeter and a voltmeter.The meters draw negligible current.The ammeter is accurate but the vlotmeter has a zero error(that is ,it does not read zero when no potential difference is applied).Calculate the zero error if the readings for two different conditions are 1.75A, 14.4Vand 2.75a, 22.4V.

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The correct Answer is:
D
Let the voltmeter reading when the voltmeter has zero error be V.
`(l_1R)/(l_2R) = V_1/V_2 or (1.75)/(2.75) = (14.4 - V)/(22.4 - V) or 7/11 = (14.4-V)/(22.4-V)`
or `7 xx (22.4 -V) = 11(14.4 -V)`
or `156.8 - 7V = 158.4 - 11V or V = 0.4V.`
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