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CUET · PHYSICS · PYQ PAPER 2025

An iron ring of relative permeability \( \mu_r \) is introduced inside a toroidal solenoid having n turns per meter. If the current in the solenoid is I, then the magnetic field in the ring is :

  1. A \( \frac{\mu_0 \mu_r I}{\sqrt{n}} \)
  2. B \( \frac{\mu_0 \mu_r I}{n^2} \)
  3. C \( \mu_0 \mu_r n^2 I \)
  4. D \( \mu_0 \mu_r n I \)
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Answer & Solution

Correct Answer

(D) \( \mu_0 \mu_r n I \)

Step-by-step Solution

Detailed explanation

\( B = \mu_0 \mu_r n I \) -\(B\) is the magnetic field inside the solenoid, - \(\mu_0\) is the permeability of free space, - \(\mu_r\) is the relative permeability of the core (iron ring in this case), - \(n\) is the number of turns per meter in the solenoid, - I is the current…
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