CUET · PHYSICS · PYQ PAPER 2025
A long solenoid with 25 turns per cm has a small loop of area \( 2.0 \text{ cm}^2 \) placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 3.0 A to 5.0 A in 0.1 s. The induced emf in the loop due to change in the current is
- A \( 4\pi \times 10^{-8} \text{ V} \)
- B \( 4\pi \times 10^{-7} \text{ V} \)
- C \( 4\pi \times 10^{-6} \text{ V} \)
- D \( 4\pi \times 10^{-4} \text{ V} \)
Answer & Solution
Correct Answer
(C) \( 4\pi \times 10^{-6} \text{ V} \)
Step-by-step Solution
Detailed explanation
\( n = 25 \text{ cm}^{-1} = 2500 \text{ m}^{-1} \) \( A = 2.0 \text{ cm}^2 = 2.0 \times 10^{-4} \text{ m}^2 \) \( \frac{dI}{dt} = \frac{5.0 \text{ A} - 3.0 \text{ A}}{0.1 \text{ s}} = 20 \text{ A/s} \) \( \mathcal{E} = A \mu_0 n \frac{dI}{dt} \)…
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