| LECTURE | SUMMARY |
|---|---|
| R1 | Advanced vector calculus | Applications of vector calculus |
| R2 | More about capacitance |
| R3 | Electrostatic forces on conductors |
| R4 | Boundary conditions for the potential |
| R5 | Legendre functions and their orthogonality Careful derivation of bound and surface charge densities | Microscopic nature of E within a dielectric |
| R6 | Separation of variables in rectangular coordinates |
| L01 | Advanced calculus | Divergence theorem | Stokes' theorem |
| L02 | Coulomb's law | System of point charges | Continuous charge distributions |
| L03 | Electric field, E | E due to various charge distributions | Calculation of E due to simple geometries |
| L04 | Gauss' law | Derivation of the law | Maxwell's equations | Applications of Gauss' law | Calculation of the divergence of E |
| L05 | Electrostatic potential | Calculation of the potential due to various simple geometries |
| L06 | Conductors in E fields | Induction | Systems of conductors |
| L07 | Capacitance | Calculation of capacitance for various systems |
| L08 | Energy of the E field | Energy of systems of conductors |
| L09 | Multipole expansion of the potential | Legendre polynomials and their application to the theory of potential |
| L10 | Expansion of the potential | Monopole and dipole | Dipole moment |
| L11 | The quadrupole term | The general expansion of the potential |
| L12 | E field due to the dipole | Quadrupole field |
| L13 | Energy of a charge distribution in an external E field | Energy of a dipole | Energy of a quadrupole | |
| L14 | Calculation of the potential for various geometries | Electric quadrupole | Electric octopole |
| L15 | Divergence and curl of E and their applications for the derivations of boundary conditions at a transition layer | Change of E perpendicular | Continuity of E parallel |
| L16 | Dielectrics and their polarization | Calculation of bound and surface charge densities |
| L17 | E within a dielectric | E due to uniformly charged dielectric sphere | Parallel plate capacitor filled with a dielectric |
| L18 | Forces inside a capacitor [constant V and Q] | Applications |
| L19 | D field | Divergence of the D field | Boundary conditions | Uniformly polarized sphere |
| L20 | Classification of dielectrics | Properties of LIH dielectrics | Point charges in infinite dielectrics |
| L21 | Energy density interns of the D and E fields | Spherical capacitors | Forces on dielectrics inside capacitors |
| L22 | Method of images | Point charges and grounded and ungrounded infinite conductors |
| L23 | Images for grounded and ungrounded spherical conductors | Point charges and their images for dielectrics | Images of point charges kept inside conducting shells having finite thickness |
| L23 | Separation of variables in spherical coordinates | Grounded conductor in uniform electric field |
| L24 | Dielectric in uniform electric field |
| L25 | Dielectric sphere in dielectric liquid | Various applications |
| L26 | Dielectric in dielectric liquid | Its dipole moment | Its surface charge density |
| L27 | Potential (interior and exterior) of a charged shell | With variable charge density |
| L28 | Various applications of the method of separation of variables |