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Question: A galvanometer coil has a resistance of \(15 \Omega\) and the metre shows full scale deflection for ...

A galvanometer coil has a resistance of 15Ω15 \Omega and the metre shows full scale deflection for a current of 4 mA. To convert the meter into a voltmeter of range 0 to 18 V, the required resistance is

A

(a) 5885 Ω\Omega in series

A

(b) 4485 Ω\Omega in series

A

(c) 5885 Ω\Omegain parallel

A

(d) 4485 Ω\Omega in parallel

Explanation

Solution

(b) The galvanometer can be transformed into a voltmeter by applying a high resistance in series if the series resistance is R, then total resistance in circuit =(15+R)Ω= ( 15 + \mathrm { R } ) \Omega

Now,

R=450015=4485Ω\therefore \mathrm { R } = 4500 - 15 = 4485 \Omega