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Potential Energy of Various Configurations

Electrostatic Potential and Capacitance
Physics
Class 12

Overview

Derive potential energy of Q at r in external field E as QV (r). Introduce unit eV and define it.,Derive total energy = Q1V (r1) + Q2V (r2) + Q1Q2 / 4 (pi) e0r12. Derive that potential energy to make a system of two charges is U = (1 / 4 (pi) e0) * (Q1Q2 / r12). Since potential energy between two charges is independent of presence of 3rd charge, derive for 3 charge, U = (1 / 4 (pi) e0) * (Q1Q2 / r12 + Q2Q3 / r23 + Q1Q3 / r13). Solve problems.,Derive U = (1 / 4 (pi) e)) * (Q^2 / 2R). Derive U = (1 / 4 (pi) e)) * (3Q^2 / 5R).

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Potential Energy of a Point Charge in External Field

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Potential Energy of a System of Two Charges in External Field

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Potential Energy of System of Charges

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Potential Energy of Spherical Shell

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Potential Energy of Sphere

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Practice Questions
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Is the potential energy of negative ion same as for the positive ion?

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Three point charge -q, +q and -q are placed along straight line at equal distances (say r meter). Electric potential energy of this system of charges will be if +q charge is in the middle.

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The potential at a point x (measured in ) due to some charges situated on the x -axis is given by volt. The electric field at is given by

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The work done in carrying a charge q once round a circle of radius r with a charge Q at the centre is :

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As shown in the figure, charges +q and -q are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is 

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