The current of the resistor, the resistance of which is 8 ohms, is 2.4 A. when measuring the voltage across this resistor
| February 23, 2021 | education
The current of the resistor, the resistance of which is 8 ohms, is 2.4 A. when measuring the voltage across this resistor, the voltmeter showed a voltage of 19.3 V. Determine the absolute and relative errors of resistance measurement in this case.
Task data: Rf (actual resistance of a given resistor) = 8 Ohm; I (resistor current) = 2.4 A; U (voltage according to voltmeter) = 19.3 V.
1) Absolute error: ΔR = Rph – R = Rph – U / I = 8 – 19.3 / 2.4 = 0.04167 Ohm.
2) Relative error: δ = ΔR / Rf = 0.04167 / 8 = 0.0052 or 0.52%.
Answer: The absolute error is 0.04167 Ohm, the relative is 0.52%.
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