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COMEDK · Physics · 19. Current Electricity

In an ammeter \(10 \%\) of main current is passing through the galvanometer. If the resistance of the galvanometer is \(G\), then the shunt resistance (in \(\Omega\) ) is

  1. A \(9 G\)
  2. B \(\frac{G}{9}\)
  3. C \(90 G\)
  4. D \(\frac{G}{90}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{G}{9}\)

Step-by-step Solution

Detailed explanation

If \(I\) be the main current, then current passing through galvanometer, \(I_{g}=10 \% \text { of } I=\frac{I}{10}\) Resistance of galvanometer, \(R_{g}=G\) Shunt resistance, \(R_{S}=\frac{I_{g} R_{g}}{I-I_{g}}=\frac{\frac{I}{10} \times G}{I-\frac{I}{10}}=\frac{G}{9}\)
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