Physics Course In Electrodynamics

Define the poynting vector as the energy flux density, the power carried across a surface by electromagnetic fields, and relate it to energy conservation via its divergence.

Shows how Maxwell's stress tensor resolves apparent violations of Newton's third law by encoding electric and magnetic field momentum into a force as the divergence of the tensor.

Derive the force on charges via Maxwell's stress tensor, separating pressure and shear terms, in static cases, and compute Coulomb forces with boundary surface integrals.

Explore how to compute the net force on the northern hemisphere of a uniformly charged solid sphere using Maxwell's stress tensor, with boundary surfaces and spherical coordinates.

Learn momentum and angular momentum conservation in electromagnetic fields, derive the field momentum from E cross B, and apply the Maxwell stress tensor in a coaxial cable example.

Derive the electric and magnetic fields of an oscillating electric dipole from potentials using Maxwell's equations, then apply three approximations to obtain the radiation-zone field.

Derive the vector potential for an oscillating electric dipole and compute the electric and magnetic fields in the radiation zone, then obtain the pointing vector and the omega^4 power law.

Analyze magnetic dipole radiation from a circulating current loop, defining the magnetic dipole moment. Compare with electric dipole radiation and derive the vector potential in the static limit.