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CUET · PHYSICS · PYQ PAPER 2025

Two inductor coils of self inductance \( L_1 \) and \( L_2 \) having same length and same area of cross-section are placed so close that effective flux in one coil is completely linked with the other. The mutual inductance between them is, is equal to:

  1. A \( L_1L_2 \)
  2. B \( \frac{L_1}{L_2} \)
  3. C \( (L_1L_2)^2 \)
  4. D \( \sqrt{L_1L_2} \)
Verified Solution

Answer & Solution

Correct Answer

(D) \( \sqrt{L_1L_2} \)

Step-by-step Solution

Detailed explanation

Since the flux is completely linked, the coefficient of coupling is \(k=1\). Using the relation \(M=\) \(k \sqrt{L_1 L_2}\), the mutual inductance simplifies to \(M=\sqrt{L_1 L_2}\).
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