One of the most widely used antennas in telecommunication is the dipole antenna. In this problem, we investigate the radiation properties of such an antenna.

In this problem we first investigate the radiation properties of a very short and thin filament of current.

The potential of a dipole in front of a flat metallic surface is calculated. A Taylor expansion is used to understand the resulting electric field.

The simplest form of an antenna array are two short dipole antennas. In this problem you will learn how a phase difference between the currents of both antennas affects their combined radiation pattern.

The directivity of a parabolic reflector is calculated in the Fraunhofer approximation.

In a limiting procedure, the field of a dipole is calculated. Taylor expansion of 1/r is used.

The electric field of two charges with opposite charge is calculated.

A point charge in front of two grounded metallic half-planes, problem and solution.

The movement of a dipole-like molecule in a constant electric field is derived using the Euler-Lagrange equations.