A multirange voltmeter can be constructed by using a galvanometer circuit as shown in the figure. We want to construct a voltmeter that can measure 2 V, 20 V and 200 V using a galvanometer of resistance 10 and that produces maximum deflection for a current of 1 mA. Find that have to be used,
The device named galvanometer can also be used to measure the voltage across a given circuit section just like a voltmeter. To do so, a very high resistance wire is connected to the galvanometer in series. The relation is determined by Ig (G + R) – V in which Ig is the galvanometer’s range, G is its resistance and R represents the resistance of the wire connected to the galvanometer in series.
Applying the expression in a different situation
For
For
And for
By solving we get