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 _______ .

Step-by-step solution

Given V = 10 V and I = 5 A Least count of voltmeter, V = 500 mV = 0.5 V Least count of ammeter, I = 200 mA = 0.2 A Resistance is given by Ohm's law: R = V I = 10 5 = 2 The maximum permissible relative error in resistance is: R R = V V + I I R 2 = 0.5 10 + 0.2 5 R 2 = 0.05 + 0.04 = 0.09 R = 2 0.09 = 0.18 Answer: 0.18