(1) Moving Coil Galvanometer, Ammeter and Voltmeter

(a) Write the expression for the current sensitivity of a moving coil galvanometer.

The current sensitivity of a moving coil galvanometer is given by:

I_s = \frac{NAB}{C}

where

  • $I_s$ is the current sensitivity in radians per ampere
  • $N$ is the number of turns in the coil
  • $A$ is the area of the coil in square meters
  • $B$ is the magnetic field strength in teslas
  • $C$ is the torsional constant of the suspension in newton-meters per radian

(b) A galvanometer has a resistance of 50 $\Omega$ and gives a full scale deflection for a current of 10 mA. How can it be converted into an ammeter of range 0 to 1 A?

To convert a galvanometer into an ammeter, we need to add a shunt resistor in parallel with the galvanometer. The shunt resistor should have a resistance such that the total current through the galvanometer and the shunt resistor is equal to the full scale current of the galvanometer. In