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Equipotential surfaces

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Any surface over which the electric potential is same everywhere is called an equipotential surface
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Define an equipotential surface. Draw equipotential surfaces : (i) in the case of single point charge and (ii) in a constant electric field in Z -direction. Why the equpotential surfaces about a single charge are not equidistant ? (iii) Can electric field exist tangential to an equipotential surface ? Given reason.

(i) Two isolated metal spheres A and B have radii R and 2R respectively and same charge q. Find which of the two spheres have (a) greater capacitance (b) greater energy density just outside the surface of the spheres. (ii) (a) Show that the equipotential surfaces are closed together in the regions of strong field and far apart in the region of weak field. Draw equipotential surfaces for an electric dipole. (b) Concentric equipotential surfaces due to a charged body placed at the centre are shown. Identify the polarity of the charge and draw the electric field lines due to it.

Three equal charges are placed at the corners of an equilateral triangle. Which of the graph below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graph have the same scale).

In an electric field shown in figure, three equipotential figure, three equipotential surfaces are shown. If function are shown. If function of electric field is E=2x^2Vm^(-1) , and given that V_1 - V_2 = V_2-V_3 , then we have

(a) Define electric dipole moment. Is it a scalar or a vector ? Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole. (b) Draw the equipotential surfaces due to an electric dipole. Locate the points where the potential due to the dipole is zero.

S_1 : When a positively charged particle is released in an electric field , in its subsequent motion,it may or may not move along the electric field line passing through the point it has been released. S_2 : In electrostatic, conductors are always equipotential surfaces. S_3 : The flux through a closed Gaussian surface is non-zero. The electric field at some point on the Gaussian surface may be zero.

The angle between the equipotential surface and the electric field (or line of force) at any point on the equipotential surface is

Assertion (A) A spherical equipotential surface is not possible for a point charge. Reason (R ) A spherical equipotential surface is possible inside a spherical capacitor.

Nature of equipotential surface for a point charge is

Assertion: Electric field is aways directed perpendicular to an equipotential surface. Reason: Equipotential surface is a surface on which at each point potential is same.