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A thin non-conducting ring of radius has a total charge distributed uniformly along its circumference. A point charge is placed at the center of the ring. If the ring is slightly displaced along its axis by a distance where , the force on the charge is proportional to:

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: A

Solution

  1. The electric field on the axis of a ring at distance is .
  2. For , the expression simplifies to .
  3. The force on charge is .
  4. Hence the answer is (A).

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