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Question: A galvanometer having a resistance of 8 Ω is shunted by a wire of resistance 2 Ω. If the total curre...

A galvanometer having a resistance of 8 Ω is shunted by a wire of resistance 2 Ω. If the total current is 1 amp, the part of it passing through the shunt will be

A

0.25 amp

B

0.8 amp

C

0.2 amp

D

0.5 amp

Answer

0.8 amp

Explanation

Solution

Fraction of current passing through the galvanometer

igi=SS+G\frac{i_{g}}{i} = \frac{S}{S + G} or igi=22+8=0.2\frac{i_{g}}{i} = \frac{2}{2 + 8} = 0.2

So fraction of current passing through the shunt

isi=1igi=10.2=0.8amp\frac{i_{s}}{i} = 1 - \frac{i_{g}}{i} = 1 - 0.2 = 0.8amp