Question

Given: Potential difference, $V=\left(8\pm 0.5\right)V$ and current $I=\left(2\pm 0.2\right)A$ The value of resistance $R$ in $\Omega$ is

• A. $4\pm 16.25\%$
• B. $4\pm 6.25\%$
• C. $4\pm 10\%$
• D. $4\pm 8\%$

Answer 1

Answer: (A)

We know that $R=V/I=8/2=4\Omega$
Percentage error in $v$ is $\frac{0.5}{8}\times 100=6.25$
Percentage error in $I$ is $\frac{0.2}{2}\times 100=10$
Now, add up percentage errors and get the answer.