Chapter 4, Problem 4.11P

At large distances from a dipole antenna (to be addressed in Chapter 14), the electric field amplitude that it radiates assumes the simplified form $E=\frac{A}{r}\sin \left(\theta \right)a_{\theta }V/m$

where A is a constant. A second dipole antenna, receiving radiation from the first is located at distance r from the first, has length L, and is oriented along the a_θ direction, thus presenting its full length to the transmitting antenna at the origin. The angular position of the receiving antenna is θ = θ₀, As observed from the transmitting antenna, the receiving antenna subtends angle AG. (a) Find the voltage amplitude across the length of the receiving antenna, and express your result in terms of A, Q_0, L, and r. (b) Specialize your result for the case in which L < r (the usual case).