In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and amme

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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 $\_\_\_\_$ $\Omega$

Accepted Answer

Sol. [Key Concept: Fractional error $\frac{\Delta\ R}{R} = \frac{\Delta\ V}{V} + \frac{\Delta\ I}{I}$; multiply by $R$.]$${V = IR }{R = \frac{10}{5} = 2\Omega }{\frac{\Delta R}{R} = \frac{\Delta V}{V} + \frac{\Delta I}{I} }{\frac{\Delta R}{R} = \frac{500 	imes 10^{- 3}}{10} + \frac{200 	imes 10^{- 3}}{5} }{\frac{\Delta R}{2} = 0.05 + 0.04 }{\Delta R = 0.09 	imes 2 = 0.18\Omega }$$

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