Question

Two resistances 100 ± 5Ω and 150 ± 15Ω are connected in series. If the error is specified as standard deviations, the resultant error will be ________________ (a) ±10 Ω (b) ±10.6 Ω (c) ±15.8 Ω (d) ±20 Ω This question was addressed to me during an internship interview. My question is taken from Advanced Problems on Magnetically Coupled Circuits topic in portion Resonance & Magnetically Coupled Circuit of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Correct choice is (c) ±15.8 Ω The best explanation: Given, R1 = 100 ± 5 Ω R2 = 150 ± 15 Ω Now, R = R1 + R2 The probable errors in this case, R = ± (R_1^2 + R_2^2)^{0.5} = ± 15.8 Ω.