The resistance R is the ratio of potential difference V and current I. What is the percentage error in R if V is (100 ± 5)V and I is (10 ± 2)A?
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In the potential difference (V), the error is of ±5 V in 100 V. The % error in V is 5/100 × 100 = 5%
In the current (I), the error is of ±2 V in 10 V. The % error in I is 2/10 × 100 = 20%
When two quantities are multiplied or divided, their % errors are added. Since Resistance is the ratio of Potential Difference and Current, the % errors of these quantities will be added.
The % error in resistance is 20+5 = 25%
In the potential difference (V), the error is of ±5 V in 100 V. The % error in V is 5/100 × 100 = 5%
In the current (I), the error is of ±2 V in 10 V. The % error in I is 2/10 × 100 = 20%
When two quantities are multiplied or divided, their % errors are added. Since Resistance is the ratio of Potential Difference and Current, the % errors of these quantities will be added.
The % error in resistance is 20+5 = 25%
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