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Superposition of Electric Fields

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Question

Explain this sentence- For a point charge, the electric field is radial and the equipotential surfaces are concentric spheres with centres at the charge!

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Solution

Dear Anushka and Gohil take a single point charge and then make potential and field line

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For any charge configuration, equipotential surface through a point is _____to the electric field at that point.

Q. Define an equipotential surface. Draw equipotential surfaces :

(i) in the case of a single point charge and
(ii) in a constant electric field in Z-direction.

Why the equipotential surfaces about a single charge are not equidistant ?
(iii) Can electric field exist tangential to an equipotential surface ? Give reason.

Q. (a) Explain why, for a charge configuration, the equipotential surface through a point is normal to the electric field at that point ?
Draw a sketch of equipotential surfaces due to a single charge (-q), depicting the electric field lines due to the charge.
(b) Obtain an expression for the work done to dissociate the system of three charges placed at the vertices of an equilateral triangle of side 'a' as shown in the figure.

Q. For any charge configuration, equipotential surface through a point is normal to the electric field. Justify :

Two charges 2 μC and −2 µC are placed at points A and B 6 cm apart.

(a) Identify an equipotential surface of the system.

(b) What is the direction of the electric field at every point on this surface?

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