Draw an equipotential surface for a system of two similar and opposite charges
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Answer:
The equipotential surfaces of two equal and opposite charges separated by a small distance are shown in the figure.
Explanation:
The equipotential surfaces are the surfaces in an electric field where the magnitude of electric potential is same at all the points.
- Electric field intensity is the negative gradient of the scalar potential, ,
therefore,
.
- Shows that there is no electric field component along the direction of equipotential surface.
- Thus, the electric field is perpendicular to the plane of an equipotential surface.
- The potential point function is a singled valued function, hence the equipotential surfaces never intersect with each other.
- For a point charge, the equipotential surfaces are spherical with charge at its centre.
- For two equal and opposite charges separated by a small distance, the equipotential surfaces in the presence of field lines are as shown in the figure.
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