An ammeter with a range of 0 to 100 µA has an internal resistance of 100 Ω.  For extending its range to 0 to 500 µA, the shunt resistance required is

An ammeter with a range of 0 to 100 µA has an internal resistance of 100 Ω.  For extending its range to 0 to 500 µA, the shunt resistance required is

Right Answer is:

25 Ω

SOLUTION

An ammeter with a range of 0 to 100 µA has an internal resistance of 100 Ω. 

Full scale deflection current (Im) = 100 µA = 1 × 10−4 A

Internal Resistance Rm = 100 Ω

After range extension, Ammeter current (I) = 500 µA = 5 × 10−4 A

Multiplication factor of ammeter is given by

m = I/Im = (5 × 10−4 A)/(1 × 10−4 A)

m = 5

The shunt resistance of the ammeter can be calculated as

Rsh = Rm/(m − 1) = 100/(5 − 1)

Rsh = 25Ω

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