The resistance where and The percentage error in the measurement of R is

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Solution

Q.
The resistance $R = V / I$ where $V = (200 \pm 5) V$ and $I = (20 \pm 0.2) A .$ The percentage error in the measurement of R is: [2024]

1 3.5%

2 7%

3 3%

4 5.5%

Ans.
(1)

We have, $R = V / I$

According to error analysis, maximum fractional error.

$\frac{d R}{R} = \frac{d V}{V} + \frac{d I}{I}$

$\frac{d R}{R} = \frac{5}{200} + \frac{0.2}{20} = \frac{7}{200}$

Hence, % error $\frac{d R}{R} \times 100 = \frac{7}{200} \times 100 = 3.5 %$

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