CUET · PHYSICS · PYQ PAPER 2025
A solenoid of length 0.4 m having 500 turns of wire carries a current of 3 A.
A coil of 10 turns and radius 0.01 m carries a current of 0.4 A.
What will be the torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of the solenoid?
- A \( 4.9 \times 10^{-7} \text{ N}\cdot\text{m} \)
- B \( 5.9 \times 10^{-6} \text{ N}\cdot\text{m} \)
- C \( 3.75 \times 10^{-7} \text{ N}\cdot\text{m} \)
- D \( 6.45 \times 10^{-6} \text{ N}\cdot\text{m} \)
Answer & Solution
Correct Answer
(B) \( 5.9 \times 10^{-6} \text{ N}\cdot\text{m} \)
Step-by-step Solution
Detailed explanation
\( B = \mu_0 \frac{N_s I_s}{L_s} = (4\pi \times 10^{-7}) \frac{500 \times 3}{0.4} = 1.5\pi \times 10^{-3} \text{ T} \) \( M = N_c I_c A_c = N_c I_c (\pi r_c^2) = 10 \times 0.4 \times \pi (0.01)^2 = 4\pi \times 10^{-4} \text{ A}\cdot\text{m}^2 \)…
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