A multirange current meter can be constructed by using a galvanometer circuit as shown in the figure. We want a current meter that can measure 10 mA, 100 mA and 1 mA using a galvanometer of resistance and that produces maximum deflection for a current of 1 mA. Find that have to be used.
A galvanometer can be converted into an ammeter by connecting a very low resistance wire (shunt resistance) connected in parallel with a galvanometer to extend its range. iGg=(I−Ig)s
Where iG is the range of the galvanometer, G is the resistance of the galvanometer.
For i1=10 mA
S1+S2+S3 are in series as a shunt resistance
So,
iGg=(i1−iG)S
1×10=(10−1)(S1+S2+S3)..(i)
For i2=100 mA
S2+S3 are in series as a shunt resistance
So,
iG(G+S1)=(i2−iG)(S2+S3)
1×(10+S1)=(100−1)(S2+S3)...(ii)
For i3=1000 mA
S3 acts as a shunt resistance.
So,
iG(G+S1+S2)=(i3−iG)S3
1×(10+S1+S2)=(1000−1)S3...(i)
From(i),(ii) and (iii)
S1=1Ω
S2=0.1Ω
S3=0.01Ω