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A few spherical equipotential surfaces are shown in the figure. The electric field at any point, at a distance x from the centre, is

Options

  1. A6 x 2 perpendicular to the plane of paper
  2. B600 x 2 perpendicular to the plane of paper
  3. C6 x 2 radially
  4. D600 x 2 radially

Correct answer

C. 6 x 2 radially

Step-by-step solution

V = q 4 π ∈ 0 x ⇒ q = 4 πε 0 Vx = 60 × 0.1 × 4 πε 0 = 24 πε 0 ∴ E = q 4 π ∈ 0 x 2 = 24 π ∈ 0 4 π ∈ 0 x 2 = 6 x 2 Direction of electric field is radially outward.

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