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Question

The resistance of a metal is given by R=V/I, where V is potential difference and I is the current. In a circuit, the potential difference across resistance is V=(8±0.5)V and current in resistance, I=(4±0.2)˚A. What is the value of resistance with its percentage error?

A
(2±5.6%)
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B
(2±0.7%)
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C
(2±35%)
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D
(2±11.25%)
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Solution

The correct option is C (2±11.25%)
Resistance, R=VI V=(8±0.5)V
I=(4±0.2)A
R=VI=84=2Ω
We know from rules of error propagation.
ΔRR=ΔVV+ΔII
=0.58+0.24=0.1125
% error =11.25%
R=(2±11.25)%

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