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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 ΩThis 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

Answer»

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.



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