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TABLE OF CONTENTS
The electrostatic energy stored in electric field is given by \[\mathcal E = \frac{\epsilon_0}{2}\int |\vec E|^2 d^3r.\] In this article a few selected applications of the above expression for electrostatic energy to the problems involving capacitors are discussed.
Taking examples of a spherical capacitor, we show how the capacitance can be computed using the linearity of relation between the potentials and charges of conductors.
The Maxwell's equations imply that the electric potential \(\phi\) obeys Poisson equation \(\nabla^2 \phi = -\rho/\epsilon_0,\) where \(\rho\) is the charged density.
The solution of a thick shell and a point charge problem by the method of images is outlined.
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