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AP EAMCET · PHYSICS · Magnetic Effects of Current

Two moving coil galvanometers A and B having identical springs are placed in magnetic fields of 0.25 T and 0.5 T respectively. If the number of turns in A and \(B\) are repsectively 36 and 48, and the areas of the coils \(A\) and \(B\) are \(2.4 \times 10^{-3} \mathrm{~m}^2\) and \(4.8 \times 10^{-3} \mathrm{~m}^2\) respectively, then the ratio of the current sensitivities of the galvanometers A and B is

  1. A \(3: 16\)
  2. B \(16: 3\)
  3. C \(4: 3\)
  4. D \(3: 4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3: 16\)

Step-by-step Solution

Detailed explanation

\( \frac{S_{I_A}}{S_{I_B}} = \frac{N_A B_A A_A}{N_B B_B A_B} \) \( \frac{S_{I_A}}{S_{I_B}} = \frac{36 \times 0.25 \times 2.4 \times 10^{-3}}{48 \times 0.5 \times 4.8 \times 10^{-3}} = \frac{36 \times 0.25 \times 2.4}{48 \times 0.5 \times 4.8} \)…