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  4. A potential difference of 220 V is applied across a rheostat of 12000 Ω . The voltmeter V has a resistance of 6000 Ω and distance BC is one-fourth of the distance from A to B . The error in the reading of voltmeter is approximately - <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-rp9vbzecoggu.png />

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Q. A potential difference of $220 \, V$ is applied across a rheostat of $12000 \, \Omega $ . The voltmeter $V$ has a resistance of $6000 \, \Omega $ and distance $BC$ is one-fourth of the distance from $A$ to $B$ . The error in the reading of voltmeter is approximately -

Question

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

It total voltage across $AB$ is $220$ then voltage across $CB$ should be $\frac{220}{4}= \, 55 \, V$ (voltage to be measured)
Solution
$V′ \, =\frac{220 \times 2000}{11000}= \, 40 \, V$ (voltage being measured)
$\therefore \, \% \, error=\frac{V - V ′}{V}\times \, 100=\frac{55 - 40}{55}\times \, 100=27\%$