NTA Abhyas JEE Main2020PhysicsCurrent ElectricityPractice

Given R 1 = 5.0 ± 0.2 Ω , R 2 = 10.0 ± 0.1 Ω . What is total resistance in parallel with possible percentage error?

Options

A15 Ω ± 2 %
B3 . 3   Ω ± 3 %
C15   Ω ± 3 %
D3.3 Ω ± 7 %

Correct answer

B. 3 . 3   Ω ± 3 %

Step-by-step solution

In parallel, R p = R 1 R 2 R 1 + R 2 = 5.0 × 10.0 5.0 + 10.0 = 50 15 = 3.3 Ω Also, R P = 3.3 Ω 1 R p = 1 R 1 + 1 R 2 Differentiating ⟹ Δ R p R p 2 = Δ R 1 R 1 2 + Δ R 2 R 2 2 Δ R p R p = 50 15 0.2 25 + 0.1 100 %error = 50 15 0.8 + 0.1 100 × 100 = 3 %

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