Two resistances are R₁=5.0±0.2 Ω and R₂=10.0±0.1 Ω. Let Rₛ and Rₚ be the series and parallel equivalents with their possible errors. Select the correct statements.
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Question

Two resistances are R₁=5.0±0.2 Ω and R₂=10.0±0.1 Ω. Let Rₛ and Rₚ be the series and parallel equivalents with their possible errors. Select the correct statements.

G1 Physics · Accepted Answer

Series: Rₛ=15.0 Ω and absolute error=0.2+0.1=0.3 Ω, i.e. 2%, so A is true. Parallel Rₚ=R₁R₂/(R₁+R₂)=3.33 Ω; differential propagation gives about 3% uncertainty, so B is true. Correct answers: A,B.