An electron moves non-relativistically in a circular orbit X = a cos (wot), Y = a sin(wot) (A) Write down the expression

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An Electron Moves Non Relativistically In A Circular Orbit X A Cos Wot Y A Sin Wot A Write Down The Expression 1 (171.16 KiB) Viewed 36 times

An electron moves non-relativistically in a circular orbit X = a cos (wot), Y = a sin(wot) (A) Write down the expressions for the current density and the vector potential A as functions of t and 7, the observer's time and position. Calculate Ã(t,r) by applying the far field and dipole approximations, explaining clearly the meaning of each. (B) Derive the Scaler potential (t, 7) from Ã(t,r) using the Lorentz Gauge condition. aÅ (C) Calculate the electric field E = -V - and the magnetic field B = V x A; ignore terms at 2nc where = is the wavelength of the emitted radiation why are such terms Wo unimportant? (D) Find then time averaged Prynting Flux < Ē x B >. (E) Integrate <Ē x B > over a spherical surface of larger centered at the source to obtain the total power of emission per unit solid angle. Show that the result is independent of but depends on 0 as it cos²0, where (0, d) are the polkar angles of the position vector of the Observer.