Question

A resistor of 10 kΩ with the tolerance of 5% is connected in series with 5 kΩ resistors of 10% tolerance. What is the tolerance limit for a series network? (a) 9% (b) 12.04% (c) 8.67% (d) 6.67% I have been asked this question during an online interview. I would like to ask this question from Advanced Problems on Two Port Network topic in division Two-Port Networks 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

The correct option is (d) 6.67% Easiest explanation: Error in 10 kΩ resistance = 10 × \frac{5}{100} = 0.5 kΩ Error in 5 kΩ resistance = 5 × \frac{10}{100} = 5 kΩ Total measurement resistance = 10 + 0.5 + 5 + 0.5 = 16 kΩ Original resistance = 10 + 5 = 15 kΩ Error = \frac{16-15}{15} × 100 = \frac{1}{15} × 100 = 6.67%.