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COMEDK · Physics · 21. Magnetic Effects of Current

To increase the current sensitivity of a moving coil galvanometer by \(25 \%\), its resistance is increased so that the new resistance becomes twice its initial resistance. By what factor does the voltage sensitivity change?

  1. A Decreases by \(37.5 \%\)
  2. B Increases by \(37.5 \%\)
  3. C Decreases by \(62.5 \%\)
  4. D Increases by \(62.5 \%\)
Verified Solution

Answer & Solution

Correct Answer

(A) Decreases by \(37.5 \%\)

Step-by-step Solution

Detailed explanation

The current sensitivity of a moving coil galvanometer is given by \(I_s = \dfrac{\theta}{I} = \dfrac{NAB}{k}\), where \(N\) is the number of turns, \(A\) is the area, \(B\) is the magnetic field, and \(k\) is the torsional constant of the spring. The voltage sensitivity is given…