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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%This question was posed to me during an online interview.The doubt is from Advanced Problems on Error Analysis in Electrical Instruments topic in chapter Measurement of Resistance of Electrical Measurements |
Answer» CORRECT choice is (d) 6.67% 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%. |
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