8.1.1. Perform the integration of the integral

which arises in Example 8.1.

8.1.2. Using dimensional arguments, show that the term

corresponds to the electrostatic energy stored in the region x > x ₀ in Example 8.1.

8.2.1. A short electric dipole with a length ? ( ? << ?) is located above a ground plane a distance h = ?/4 ( h >> ?). The dipole is perpendicular to the ground plane. Find the directivity of this antenna. How does the ground plane change the directivity?

Hint: Use the method of images and the array concept, then apply a numerical integration.

8.4.1. Find the directivity of two short electric di-poles that are excited out of phase and are physically separated by one half-wavelength.

8.4.2. A short magnetic dipole with a radius a ( a << ?) is located above a ground plane a distance h < ?/4 ( h >> a). The dipole is parallel to the ground plane. Find the directivity of this antenna. How does the ground plane change the directivity?

8.4.3. Find the directivity of two short magnetic dipoles that are excited in phase and are physically separated by one half-wavelength.

8.4.4. Determine the effects that a ground plane has on the radiation resistance of a short electric dipole with a length ? ( ? << A) that...