Question

the resistance R =V/I where v= (100+-5) and I = (10+-0.2) find % error in R

Answer 1

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Answer 2

Answer:

The percentage error in R is 7%.

Explanation:

The percentage error in R is given as,

$\frac{\Delta R}{R}\times 100$             (1)

Where,

$\frac{\Delta R}{R}=\frac{\Delta V}{V}+\frac{\Delta I}{I}$          (2)

As per the question,

$V=100\pm5V$             (5 is the error in measurement of V)

$I=10\pm0.2 A$             (0.2 is the error in the measurement of I)

By putting the required values in equation (2) we get;

$\frac{\Delta R}{R}=\frac{5}{100}+\frac{0.2}{10}$

$\frac{\Delta R}{R}=0.05+0.02$

$\frac{\Delta R}{R}=0.07$

By substituting the value of  $\frac{\Delta R}{R}$  in equation (1) we get;

$0.07\times 100=7\%$

Hence, the percentage error in R is 7%.