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Q.

A voltmeter with resistance RV=2500  Ω indicates a voltage of 125 V in the circuit shown in figure. What is the series resistance (R) to be connected with voltmeter in this circuit  so that it indicates 100 V? 

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a

120  Ω

b

550  Ω

c

Data insufficient

d

625  Ω

answer is A.

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Detailed Solution

R0=2500  Ω

E=125  V

When r is connected in series, 

i=ER0+r

Reading in voltmeter  =Eir=100 

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100=1251252500+r×r

or    r=625  Ω

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A voltmeter with resistance RV=2500  Ω indicates a voltage of 125 V in the circuit shown in figure. What is the series resistance (R) to be connected with voltmeter in this circuit  so that it indicates 100 V?