Today's lecture started out with Green's Theorem. Combining the point form of Gauss's Law with the integral form of Gauss's Law, one can show that the flux of the electric field is related to the divergence of the electric field by the Divergence Theorem, which is a specific example of the more general Green's Theorem.
Next, we derived the expressions for the amount of electrostatic potential energy stored in a collection of charges. We looked at both discrete charge assemblies, and also continuous distributions of charge.
We covered one example problem (find the amount of work required to assemble a ball of charge of radius "b" and charge density "rho").
Lastly, we looked at the electrical flux density, about which we will have more to talk about next week. So please read up on flux density. You should also read about boundary conditions.
Next, we derived the expressions for the amount of electrostatic potential energy stored in a collection of charges. We looked at both discrete charge assemblies, and also continuous distributions of charge.
We covered one example problem (find the amount of work required to assemble a ball of charge of radius "b" and charge density "rho").
Lastly, we looked at the electrical flux density, about which we will have more to talk about next week. So please read up on flux density. You should also read about boundary conditions.
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