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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.

Text Solution

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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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