Homework 7 An election moves non-relativistically X = a coswot Y= a. orbit sen wot (a) Write down expressions for the cu

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Homework 7 An Election Moves Non Relativistically X A Coswot Y A Orbit Sen Wot A Write Down Expressions For The Cu 1 (95.21 KiB) Viewed 10 times

Homework 7 An election moves non-relativistically X = a coswot Y= a. orbit sen wot (a) Write down expressions for the current density I and the vector potential A as functions of t and I the observer's time and position. Calculate A(+₁, +) by applying the far field and dipole approximations, explaining clearly in a circular the meaning of each. (b) Denve the scalar potential plt, 7) from Alt, 7) roing the Lorentz gange condition. at (c) Calculate the electric field E -- 54-24 and the magnetic field 1 = JA A; ignore terms 0(13/1²) where f = 2πC/ Wo is the wavelength of the emitted radiation. Why are such terms unimportant? (d) Find the time averaged Prynting Flux (E^B). (e) Integrate (E₁B) over sphoneill surface of large i centred at the source to obtain the total power of emission per unit solid angle. Show that the result is independent of f but depends as it cost, where (0,4) are the polar angles of the position vector o of the of server. a on Ű / I