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 percentage error in the value of resistance of wire is:

6 %

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1 %

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3 %

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Solution

The correct option is A $6 %$
$R = \frac{V}{I} ∴ \frac{Δ R}{R} \times 100 = \frac{Δ V}{V} \times 100 + \frac{Δ I}{I} \times 100 = 3 % + 3 % = 6 %$

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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 percentage error in the value of resistance of wire is:

The correct option is A 6%R=VI∴ΔRR×100=ΔVV×100+ΔII×100=3%+3%=6%

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 percentage error in the value of resistance of wire is:

The correct option is A $6 %$
$R = \frac{V}{I} ∴ \frac{Δ R}{R} \times 100 = \frac{Δ V}{V} \times 100 + \frac{Δ I}{I} \times 100 = 3 % + 3 % = 6 %$