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MHT CET · Physics · Current Electricity

The deflection in a moving coil galvanometer is reduced to half when it is shunted with ' \(X^{\prime} \Omega\) coil. The relation between ' \(\mathrm{X}^{\prime}\) and resistance of galvanometer ' \(\mathrm{G}^{\prime}\) is

  1. A \(2 X=G\)
  2. B \(4 X=G\)
  3. C \(X=2 G\)
  4. D \(X=G\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(X=G\)

Step-by-step Solution

Detailed explanation

\(\mathrm{I}_{\mathrm{G}} \cdot \mathrm{G}=\mathrm{I}_{\mathrm{x}} \cdot \mathrm{X}\)
The total current gets equally divided between the galvanometer and the shunt.
\(\therefore \mathrm{I}_{\mathrm{G}}=\mathrm{I}_{\mathrm{X}}\)
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