we found that for an oscillating dipole the vector potential is given by: A(r, 0, 1) = - Ho Pow sin[w(t - r/c)]z. 4xr Find the magnetic field, B. 2. In class we found that, for an oscillating dipole, the Poynting vector, S (energy radiated), is given by: Hopout sine (S) = 32x2c a. Explain why the Poynting vector is directed along the r direction (based on the E and B field). b. Along what axis the is there no power radiated? Along what axis is the maximum power radiated? c. Find (P) = [(S) . (da) over a sphere of radius R. 3. The E and B field from an arbitrary source is given by: E(r, 0, 1) ~Hop(to) sin e 4 IT B(r, 0, 1) ~ Hop(to) sin 0 47C [note that p is the dipole moment] a. Find the Poynting vector, S, simplifying as much as possible. b. Find the Power, P, using P = J'S . da, over a sphere of radius R. c. Using the power, you calculated in b., show that for a single point charge with dipole moment: p = qd, find the Power radiated, showing that it is equal to P - Haqza2 d. Find the power radiated in the case where an electron is dropped from rest, experiencing freefall