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CUET · PHYSICS · 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 :

  1. A rx
  2. B rx/2
  3. C 2rx
  4. D 4rx
Verified Solution

Answer & Solution

Correct Answer

(B) rx/2

Step-by-step Solution

Detailed explanation

\(\oint \vec{E} \cdot d\vec{l} = -\frac{d\Phi_B}{dt}\) \(E \cdot (2\pi r) = -\frac{d}{dt}(B \cdot \pi r^2)\) \(E \cdot (2\pi r) = -x \cdot \pi r^2\) \(E = \frac{xr^2}{2r}\) \(E = \frac{rx}{2}\)