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CUET · PHYSICS · PYQ PAPER 2025

A, B, and C are parallel conductors of equal lengths carrying current I, 2I and 3I respectively, as shown in the figure. \( F_1 \) is the force exerted by B on A and \( F_2 \) is the force exerted by C on A. Choose the correct answer
image

  1. A \( \vec{F_1} = - \vec{F_2} \)
  2. B \( \vec{F_2} = \vec{F_1} \)
  3. C \( \vec{F_2} = \frac{3}{4}\vec{F_1} \)
  4. D \( \vec{F_2} = -1.33 ~\vec{F_1} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \vec{F_2} = \frac{3}{4}\vec{F_1} \)

Step-by-step Solution

Detailed explanation

Magnitude: \(F_1=\frac{\mu_0(I)(2 I) L}{2 \pi x}=\frac{2 \mu_0 I^2 L}{2 \pi x}\) Magnitude: \(F_2=\frac{\mu_0(I)(3 I) L}{2 \pi(2 x)}=\frac{3 \mu_0 I^2 L}{4 \pi x}=\frac{1.5 \mu_0 I^2 L}{2 \pi x}\) - \(F_1=\left(\frac{2 \mu_0 I^2 L}{2 \pi x}\right) \hat{i}\) -…