In an experiment to determine the resistance of a given wire using Ohm’s law, the voltmeter and ammeter readings

Question

In an experiment to determine the resistance of a given wire using Ohm’s law, the voltmeter and ammeter readings are noted as 10 V and 5 A, respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA, respectively. The estimated error in the resistance measurement is _____ $Ω$ . [2026]

Smart Achievers · Accepted Answer

(4)

$\frac{Δ R}{R} = \frac{Δ V}{V} + \frac{Δ I}{I}$

$Δ R = (\frac{0.5}{10} + \frac{0.2}{5}) \frac{10}{5}$

$Δ R = \frac{1}{10} + \frac{2}{25} = 0.18 Ω$

Solution

1 0.25

2 2

3 2.5

4 0.18

Ans.
(4)

$\frac{Δ R}{R} = \frac{Δ V}{V} + \frac{Δ I}{I}$

$Δ R = (\frac{0.5}{10} + \frac{0.2}{5}) \frac{10}{5}$

$Δ R = \frac{1}{10} + \frac{2}{25} = 0.18 Ω$

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