Question

To convert a galvanometer to voltmeter of Ranges 2v, v and V / 2 volt, resistances R1, R2 and R3 ohm respectively are required to be connected to the Galvanometer. Obtain the relationship between R1, R2 and R3

Answer 1

R₁-R₂-2R₃=2G

Is your required relation where all terms have their usual or given meanings. I hope you did well

PFA

Answer 2

Given :

Voltage for resistance R₁= 2V

Voltage for resistance R₂= V

Voltage for resistance R₃=V/2

To find :

The relation between R₁,R₂,R₃

Solution :

• We know R = (V/i) - G
• For resistance R₁  

          R₁ = (2V/i) - G………(1)

• For resistance R₂

          R₂ = (V/i) - G………(2)

• For resistance R₃

          R₃ = (V/2i) - G………(3)

• From above equations

         R₁ - R₂ - 2R₃ = 2G

The relation among the resistances is R₁ - R₂ - 2R₃ = 2G