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There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P , in the region, is found to vary between the limits 589 . 0 V to 589 . 8 V . What is the potential at a point on the sphere whose radius vector makes an angle of 60 ° with the direction of the field?

Options

  1. A589 . 4   V
  2. B589 . 5   V
  3. C589 . 2   V
  4. D589 . 6   V

Correct answer

D. 589 . 6   V

Step-by-step solution

Δ V = E d Along diameter   ∆ V = 589.8 - 589.0     V = 0.8   V 0.8 = E d Now Δ V = E d 2 cos θ = 0.4 × cos 60 o = 0.2 ∴ 589.8 − V = 0.2 V = 589.6   V

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