CUET · MATHS · PYQ PAPER 2024
A conducting ring of radius \(r\) in a magnetic field varying at rate \(x\) has electric field intensity at any ring point as :
- A rx
- B \(rx / 2\)
- C 2 rx
- D 4 rx
Answer & Solution
Correct Answer
(B) \(rx / 2\)
Step-by-step Solution
Detailed explanation
\(E \cdot 2\pi r = \frac{d}{dt}(B \cdot \pi r^2)\) \(E \cdot 2\pi r = \pi r^2 \frac{dB}{dt}\) \(E = \frac{\pi r^2 x}{2\pi r}\) \(E = rx / 2\)
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