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

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

G1 Physics · Accepted Answer

Step 1: R=V/I=200/20=10 Ω. Step 2: Fractional error is √[(4/200)²+(0.2/20)²]=√(0.0005)=0.0224. Step 3: Hence ΔR≈10×0.0224=0.224 Ω≈0.3 Ω, so R=(10±0.3) Ω. Final: Option B.