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A galvanometer of resistance G is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
- S² / (S + G)
- SG / (S + G)
- G² / (S + G)
- G / (S + G)
Correct answer: SG / (S + G)
Solution
To keep the main current unchanged, the equivalent resistance of the galvanometer and shunt combination must remain the same as the original galvanometer resistance. The series resistance required is derived as SG / (S + G).
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