CUET · PHYSICS · PYQ PAPER 2023
Two solenoids each of length 7 m are placed co-axially, the outer solenoid has 1000 turns and the inner solenoid has 1200 turns. The diameter of the inner solenoid is 8 cm. The mutual inductance between the two solenoids is:
- A \(3.52 \times 10^{-3} \text{ H}\)
- B \(2.51 \times 10^{-3} \text{ H}\)
- C \(2.03 \times 10^{-3} \text{ H}\)
- D \(1.08 \times 10^{-3} \text{ H}\)
Answer & Solution
Correct Answer
(D) \(1.08 \times 10^{-3} \text{ H}\)
Step-by-step Solution
Detailed explanation
\(M = \mu_0 \frac{N_1 N_2}{l} \pi \left(\frac{d_2}{2}\right)^2\) \(M = (4\pi \times 10^{-7}) \frac{(1000)(1200)}{7} \pi \left(\frac{0.08}{2}\right)^2\) \(M \approx 1.08 \times 10^{-3} \text{ H}\)
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