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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 posed to me in a job interview.Question is taken from Advanced Problems on Error Analysis in Electrical Instruments in portion Measurement of Resistance of Electrical Measurements

Answer»

Correct CHOICE is (C) ±15.8 Ω

For 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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