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Electrostatic Potential And Capacitance

Question
CBSEENPH12037386
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What is an equipotential surface?
A uniform electric field E→ of 300 NC–1 is directed along PQ. A, B and C are three points in the field having x and y coordinates (in metres) as shown in the figure. Calculate potential difference between the points
(i) A and B and (ii) B and C

Solution

A surface that has the same electric potential at every point is called an equipotential surface.

Given,
Electric field E, directed along PQ= 300 NC-1

(i) Work done to take a positive charge from point A to B is 0 because, the charge is moving perpendicular to the direction of the electric field.
∴ Potential difference between A and B = 0

ii) Since, Electric field is given by E = -∆V∆x
Therefore, potential difference between B and C
                       
                    ∆V = -E ∆x        = - 300 × 7         = -2100 V

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