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Q.

The voltage range of a galvanometer used as voltmeter is increased by n times by using a resistance of 16Ω and current range for the same galvanometer when used as ammeter is also increased by n times by using a shunt of 4 Ω resistance. Find the value of n.

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answer is 3.

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Detailed Solution

Let n, then (i0)×(r+16)=n×(i0r)
⇒n=r+16r                                       ...............(i)
And   4r(4+r)×(n  i0)=i0r
⇒n=4+r4                                         .................(ii)
From (i) and (ii)
r=16×4=8

⇒n=3

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