MHT CET · Physics · Current Electricity
What will be the resistance of the shunt when \(5 \%\) of the main current is passed through a galvanometer of resistance G?
- A \(\frac{G}{20}\)
- B \(\frac{G}{21}\)
- C \(\frac{G}{5}\)
- D \(\frac{G}{19}\)
Answer & Solution
Correct Answer
(D) \(\frac{G}{19}\)
Step-by-step Solution
Detailed explanation
Let the total passing be \(\mathrm{I}\).
Thus current passing through galvanometer \(\mathrm{I}_{\mathrm{G}}=0.05 \mathrm{I}\)
Also, current passing through shunt resistance \(\mathrm{I}_{\mathrm{S}}=\mathrm{I}-0.05 \mathrm{I}=0.95 \mathrm{I}\)
Using \(I_{S} S=I_{G} G\)
\(\therefore \frac{S}{G}=\frac{0.05}{0.95}=\frac{1}{10}\)
\(\Longrightarrow S=\frac{G}{19}\)
Thus current passing through galvanometer \(\mathrm{I}_{\mathrm{G}}=0.05 \mathrm{I}\)
Also, current passing through shunt resistance \(\mathrm{I}_{\mathrm{S}}=\mathrm{I}-0.05 \mathrm{I}=0.95 \mathrm{I}\)
Using \(I_{S} S=I_{G} G\)
\(\therefore \frac{S}{G}=\frac{0.05}{0.95}=\frac{1}{10}\)
\(\Longrightarrow S=\frac{G}{19}\)
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