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Can you explain the answer of this question below:
A small circular ring has a uniform charge distribution. On a far-off axial point distance x from the centre of the ring, the electric field is proportional to
  • A:
    x-1 
  • B:
    x-3/2
  • C:
    x-2
  • D:
    x5/4
The answer is C.
Most Upvoted Answer
Can you explain the answer of this question below:A small circular rin...
Electric field due to a charged ring in given by: -
at point p
∣​E∣​= KQx​ /(R2+x2)3/2        Q =λ(2πr)
at a large distance, x≫R, so :- R2+x2≃x2
⇒∣​E∣​= K&x​/(x2)3/2=KQ/x2​=Eαx−2
so at a large distance, the ring behaves as a point particle.
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Community Answer
Can you explain the answer of this question below:A small circular rin...
Explanation:

  • The electric field due to a small circular ring of uniform charge distribution at a far-off axial point is given by the expression E = kQx/(x^2 + R^2)^(3/2), where k is Coulomb's constant, Q is the total charge on the ring, R is the radius of the ring, and x is the distance from the centre of the ring to the axial point.

  • For a small circular ring, R < x,="" we="" can="" approximate="" the="" expression="" as="" e="" />

  • Therefore, the electric field is proportional to x^-2.

  • Option C is the correct answer.

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