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Equipotential Surfaces

Electrostatic Potential and Capacitance
Physics
Class 12

Overview

Introduce equipotential surfaces. Understand how to construct them. Discuss the properties like 0 work is done in moving a charge in same equipotential surface, electric field is perpendicular to equipotential surface, surfaces are closer in strong field and far in weak field. Understand that electrical field is in direction in which potential decrease is steepest. Equipotential surfaces - Problem L1.

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Equipotential Lines And Equipotential Surfaces

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Fig shows some of the equipotential surfaces of the magnetic scalar potential. The magnetic field B at a point in the region is:

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Define an equipotential surface,. Draw equipotential surfaces: In a constant electric field in Z - direction Why the equipotential surface about a single charge are not equidistant?

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A diverging electron beam enters a region of varying potentials. Intersection of equispaced equipotential plane surfaces with the plane of the paper are shown, with their potentials mentioned in the figure. If before entering this region, x and y components of the velocity of electrons are and , respectively, where m is the mass of an electron and is the electronic charge, then :

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The diagram shows equipotential lines from an unknown charge configuration. Determine the direction of the field at A :

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The electric field in a region is given by : , where is a positive constant. The equation for an equipotential surface will be of the form
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A dense sphere of mass is placed at the centre of a circle of radius . Find the work done, when a particle of mass is brought from A to B along a circle as shown in the figure.

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A spherical equipotential surface is not possible for a point charge.

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Answer the following question:
Explain why, for any charge configuration, the equi potential surface through a point is normal to the electric field at that point.
Draw a sketch of equi potential surfaces due to a single charge (-q). depicting the electric field lines due to the charge.
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 alongside.

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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.

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The gravitational field strength and gravitational potential are related as
In the figure, transversal lines represent equipotential surfaces. A particle of mass is released from rest at the origin. The gravitational unit of potential, .
Speed of the particle is in cm is in ) as function of its y-co-ordinate is

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