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Question: A voltmeter has a resistance of G ohms and range V volts. The value of resistance used in series to ...

A voltmeter has a resistance of G ohms and range V volts. The value of resistance used in series to convert it into a voltmeter of range nV volts is

A

nG

B

(n1)G( n - 1 ) G

C

Gn\frac { G } { n }

D

G(n1)\frac { G } { ( n - 1 ) }

Answer

(n1)G( n - 1 ) G

Explanation

Solution

Suppose resistance R is connected in series with voltmeter as shown.

By Ohm's law

igR=(n1)Vi _ { g } \cdot R = ( n - 1 ) V

R=(n1)GR = ( n - 1 ) G (where ig=VG)\left. i _ { g } = \frac { V } { G } \right)