A very small loop antenna (a << λ/30) of constant current is placed a height
h above a flat, perfectly conducting ground plane of infinite extent. The area
plane of the loop is parallel to the interface (x-y plane). For far-field
observations:
(a) Find the total electric field radiated by the loop in presence of the ground
plane. (10 pts)
(b)Determine all the angles (in degrees) in the y-z plane where the total field
vanishes when the height is λ. (5 pts)
(c) The smallest non-zero height (in λ) such that the total far-zone field
exhibits a null at an angle of 60o from the vertical (5 pts).