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Q.

A potential difference of 220 V is maintained across a 12000 ohm rheostat AB . The voltmeter V has a resistance of 6000 ohm and point C is at one fourth of the distance from A to B. What is the reading in the voltmeter ?

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a

40 V

b

100 V

c

80 V

d

20 V

answer is A.

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Detailed Solution

Resistance of the wire between A and C is 
120004=3000Ω 

This is in parallel to the voltmeter of resistance 6000Ω. Net resistance between A and C is
RAC=3000×60003000+6000=2000Ω
Voltmeter reading 
=VAC=(220)RACRBC+RCA=220×20009000+2000=40V

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