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?

Question

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?, 589 . 4 V, 589 . 5 V, 589 . 2 V, 589 . 6 V

MARKS App · Accepted Answer

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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