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 A voltmeter connected in series with a resistance R1 to a circuit indicates a voltage V1 = 198V. When a series resistance R2= 2 R1 is used, the voltmeter indicates a voltage V2 = 180V. If the resistance of the voltmeter is Rv = 900 ohm, then show that the applied voltage across A and B is 220V.

7 years ago


Answers : (1)


let applied voltage be x V

so, by kirchoffs laws, we have :

let I1 be current in case 1 and I2 be in case 2

so acroess voltmeters , we have    198 = 900I1      . .. (1)

                                               180 = 900I2     ... (2)

and for whole circuit, we have : x - 198 = I1(R1+900)        ... (3)

                                            x - 180 = I2(2R1+900)       ... (4)

on solving eqns, 1 to 4 , we have

x = 220V


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7 years ago

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