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CUET · PHYSICS · PYQ PAPER 2025

Two similar coils of radius r are placed concentrically with their planes at right angles to each other. The currents flowing in them are I and 3I, respectively. The resultant magnetic induction at the centre is

  1. A \(\frac{\sqrt{5} \mu_0 I}{2R}\)
  2. B \(\frac{\sqrt{10} \mu_0 I}{2R}\)
  3. C \(\frac{\sqrt{3} \mu_0 I}{2R}\)
  4. D \(\frac{\sqrt{3} \mu_0 I}{4R}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\sqrt{10} \mu_0 I}{2R}\)

Step-by-step Solution

Detailed explanation

Magnetic induction due to first coil: \(B_1 = \frac{\mu_0 I}{2R}\) Magnetic induction due to second coil: \(B_2 = \frac{\mu_0 (3I)}{2R}\) Resultant magnetic induction:…