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Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the volue of resistance of the wire is
The resistance R is given by Ohm’s law:
R = V/I
Using error propagation, the percentage error in
R is the sum of the percentage errors in
V and I. Given 3% error in both, the total error in
R is 6%. Answer: (a) 6%.
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