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      Question

      A solid non-conducting sphere of radius R carries a

      uniform volume charge density ρ. What is the ratio of electric field at r = R (surface) to that at r = R/2 (inside)?
      A 2:1 Correct Answer Incorrect Answer
      B 4:1 Correct Answer Incorrect Answer
      C 1:2 Correct Answer Incorrect Answer
      D 3:2 Correct Answer Incorrect Answer

      Solution

      We are given:

      • A solid non-conducting sphere of radius R
      • It carries a uniform volume charge density ρ
      • We are to find the ratio of electric field at r = R (on surface) to that at r = R/2 (inside)
      Electric Field due to a uniformly charged solid sphere For a sphere with uniform volume charge density ρ , the electric field depends on distance r from the center: (A) Outside or at surface (r ≥ R): The electric field at the surface is twice that at r = R/2 .

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