Q. The potential difference across the $100\Omega$ resistance in the following circuit is measured by a voltmeter of $900\ \Omega$ resistance. The percentage error made in reading the potential difference is

A) $\frac{10}{9}$
B) 0.1
C) 1.0
D) 10.0
Explanation

(c) Before connecting the voltmeter, potential difference across $100\Omega$ resistance
$V_{1} = \frac{100}{(100 + 10)} \times V = \frac{10}{11}V$
Finally after connecting voltmeter across $100\Omega$ equivalent resistance
$\frac{100 \times 900}{(100 + 900)} = 90\Omega$
Final potential difference
$V_{f} = \frac{90}{(90 + 10)} \times V = \frac{9}{10}V$
% error $= \frac{V_{i} - V_{f}}{V_{i}} \times 100$
$= \frac{\frac{10}{11}V - \frac{9}{10}V}{\frac{10}{11}V} \times 100 = 1.0$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.