Two resistance are measured in ohm and is given as:- R₁ = 3 Ω ± 1% ; R₂ = 6 Ω ± 2% When they are connected in parallel, the percentage error in equivalent resistance is
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Two resistance are measured in ohm and is given as:- R₁ = 3 Ω ± 1% ; R₂ = 6 Ω ± 2% When they are connected in parallel, the percentage error in equivalent resistance is

G1 Physics · Accepted Answer

For parallel resistors R = R₁R₂/(R₁+R₂). With R₁=3 Ω and R₂=6 Ω, R=2 Ω. Using differential error, dR/R = dR₁/R₁ + dR₂/R₂ − d(R₁+R₂)/(R₁+R₂); the maximum propagated error evaluates to about 1.33%. Correct answer: D.