GATE EE 2025 Set 1 — Question 31
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Electrical & Electronic Measurements → Measurement Principles → Error Analysis
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Question
The maximum percentage error in the equivalent resistance of two parallel-connected resistors of and with each having a maximum error is ____________ (round off to nearest integer value).
Correct answer
5 to 5
Solution
The equivalent resistance of two parallel resistors is given by:Taking the natural logarithm on both sides:Differentiating both sides:The maximum percentage error is obtained by taking the sum of the absolute values of the individual errors:Given and , , :Rounding to the nearest integer, the value is 5.
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