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KCET · Physics · Magnetic Effects of Current

The deflection in a moving coil galvanometer is reduced to half when it is shunted with a \(40 \Omega\) coil. The resistance of the galvanometer is

  1. A \(80 \Omega\)
  2. B \(40 \Omega\)
  3. C \(20 \Omega\)
  4. D \(15 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(40 \Omega\)

Step-by-step Solution

Detailed explanation

We know,
\(\frac{I_{G}}{I}=\frac{1}{2}\)
\(\frac{S}{G+S}=\frac{1}{2}\)
\(\frac{I_{G}}{I}=\frac{40}{G+40}=\frac{1}{2}\)
\(G=40 \Omega\)