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COMEDK2024PhysicsMagnetic Effects of Current

A circular ring of radius r is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field B changes with time according to the equation B=K t , where K is a constant and t is the time. The electric field in the ring is

Options

  1. AK r 4
  2. BK r 3
  3. CK r 2
  4. DK 2 r

Correct answer

C. K r 2

Step-by-step solution

B=k t According to Maxwell's is equation, (Faraday's law of electro magnetic induction) aligned E d l & = -d _B d t or E 2 r & = d d t (B A) & = d d t (k t r^2 ) A= r^2 E 2 r & =k r^2 E & = k r^2 2 r = k r 2 aligned

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