A galvanometer can be converted into …

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A galvanometer can be converted into a votmeter to measure upto

(i) 'V' volts by connecting a resistance R₁ in series with coil.

(ii) V/2 volts by connecting a resistance R₂ in series with its coil.

Find the resistance (R), in terms of R₁and R₂ required to convert it into a voltmeter thst can read upto '2V' volts.

Posted by Prabhnoor Singh 8 years, 10 months ago

CBSE > Class 12 > Physics

1 answers

Naveen Sharma 8 years, 10 months ago

Ans. A potential drop across galvanometer with a resistance in series is given by.

$1) V = I_{g} R_{1} + I_{g} G . . . . . . . . . . . (1)$

$2) \frac{V}{2} = I_{g} R_{2} + I_{g} G . . . . . . . . . . . . . . (2)$

Also from Question

$2 V = I_{g} R + I_{g} G . . . . . . . . . . . . (3)$

Subtract (1) from (3), we Get

$V = I_{g} (R - R_{1}) . . . . . . . . . . . . (4)$

Subtract (2) from (1), We Get

$\frac{V}{2} = I_{g} (R_{1} - R_{2}) . . . . . . . . . . . . . . . (5)$

Divide (4) by (5), We get

$\frac{2}{1} = \frac{R - R_{1}}{R_{1} - R_{2}}$

=> R - R₁ = 2R₁ - 2R₂

=> R = 3R₁ - 2R₂

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