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Q.

A voltmeter with resistance $R_{V} = 2500 Ω$ 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

$R_{0} = 2500 Ω$

$E = 125 V$

When r is connected in series,

$i = \frac{E}{R_{0} + r}$

Reading in voltmeter $= E - i r = 100$

Question Image

$100 = 125 - \frac{125}{2500 + r} \times r$

$o r r = 625 Ω$

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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?