The potential difference across the 100,Omega | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Before connecting the voltmeter,the potential difference across the $100\,\Omega$ resistance is given by the voltage divider rule:$V_i = \frac{100

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) Before connecting the voltmeter,the potential difference across the $100\,\Omega$ resistance is given by the voltage divider rule:$V_i = \frac{100}{100 + 10} 	imes V = \frac{10}{11}V$After connecting the voltmeter of $900\,\Omega$ in parallel with the $100\,\Omega$ resistance,the equivalent resistance of the parallel combination is:$R_p = \frac{100 	imes 900}{100 + 900} = \frac{90000}{1000} = 90\,\Omega$The final potential difference measured by the voltmeter is:$V_f = \frac{90}{90 + 10} 	imes V = \frac{90}{100}V = 0.9V = \frac{9}{10}V$The percentage error in the measurement is calculated as:$	ext{Percentage Error} = \frac{V_i - V_f}{V_i} 	imes 100$$= \frac{\frac{10}{11}V - \frac{9}{10}V}{\frac{10}{11}V} 	imes 100$$= \frac{\frac{100 - 99}{110}}{\frac{10}{11}} 	imes 100 = \frac{1/110}{10/11} 	imes 100 = \frac{1}{110} 	imes \frac{11}{10} 	imes 100 = \frac{1}{100} 	imes 100 = 1\%$

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

Similar Questions

$A$ cell of emf $\varepsilon$ and internal resistance $r$ is connected across a variable load resistance $R$. The graph drawn between its terminal voltage $V$ and resistance $R$ is

The resistance of a wire is $10^{-6} \, \Omega$ per meter. It is bent in the form of a circle of diameter $2 \, m$. A wire of the same material is connected across its diameter. The total resistance across its diameter $AB$ will be

What is the equivalent resistance between the points $A$ and $B$ of the network in $\Omega$?

The net current flowing in the given circuit is . . . . . . $\text{A}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module