An ammeter of range 0 to 10 A shows a current of 7.5 A. If its true value is 6.2 A, the relative error is ______.
20.96%
The ammeter reading is 7.5 A, while the true value is 6.2 A. The error is the difference between the measured value and the true value:
Error = Measured Value - True Value = 7.5 A - 6.2 A = 1.3 A
The relative error is the ratio of the error to the true value, expressed as a percentage:
Relative Error = \( \frac{\text{Error}}{\text{True Value}} \times 100\% \)
Substituting the values, we get:
Relative Error = \( \frac{1.3}{6.2} \times 100\% \approx 20.9677\% \)
Rounding to two decimal places, the relative error is approximately 20.97%. The closest option is 20.96%.
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