In an electric circuit, the voltage is measured as V = (200 ± 4) V and current as I = (20 ± 0.2) A. The value of resistance is:
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In an electric circuit, the voltage is measured as V = (200 ± 4) V and current as I = (20 ± 0.2) A. The value of resistance is:

G1 Physics · Accepted Answer

Step 1: R = V/I = 200/20 = 10 Ω. Step 2: Maximum fractional uncertainty ΔR/R = ΔV/V + ΔI/I = 4/200 + 0.2/20 = 0.03. Step 3: ΔR = 10 × 0.03 = 0.3 Ω. Hence R = (10 ± 0.3) Ω.