Question
A multirange current meter can be constructed by using a galvanometer circuit as shown in Fig. We want a current meter that can measure 10mA, 100mA and 1A using a galvanometer of resistance 10Ω and that prduces maximum deflection for current of 1mA. Find S1, S2 and S3 that have to be used.

Answer

Key concept: A galvanometer can be converted into ammeter by connecting a very low resistance wire (shunt S) connected in parallel with galvanometer. The relationship is given by IgG = (l - Ig) S, where Ig is the range of galvanometer, G is the resistance of galvanometer.

For measuring I1 = 10mA : IG.G = (I1 - IG)(S1 + S2 + S3)

For measuring I2 = 100mA : IG(G + S1) = (I2 - IG)(S2 - S3)

For measuring I3 = 1A : IG(G + S1 + S2) =(I3 - IG)(S3)

Gives S1 = 1Ω, S2 = 0.1Ω and S3 = 0.01Ω.

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