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Question

Question: The range of voltmeter of resistance \(300 \Omega\) is 5 V. The resistance to be connected to conver...

The range of voltmeter of resistance 300Ω300 \Omega is 5 V. The resistance to be connected to convert it into an ammeter of range 5 A is

A

(a) 1Ω1 \Omega in series

A

(b) 1 Ω\Omega in parallel

A

(c) 0.1Ω0.1 \Omega in series

A

(d) 0.10.1 Ω \Omega in parallel

Explanation

Solution

(b) A Voltmeter is a galvanometer having a high resistance connected in series with it. The current through the galvanometer is

Ig=5V300Ω=160AI _ { g } = \frac { 5 V } { 300 \Omega } = \frac { 1 } { 60 } A

An ammeter is a galvanometer having a low resistance connected in parallel with it. The shunt resistance S is determined from

Where (Given)

For I = 5A, we get

1/605(1/60)=S300S=1Ω\frac { 1 / 60 } { 5 - ( 1 / 60 ) } = \frac { \mathrm { S } } { 300 } \Rightarrow \mathrm { S } = 1 \Omega