An electron moves non-relativistically in a circular orbit , (A) Write down the expressions for the current density and
Posted: Wed Jul 06, 2022 10:13 am
An electron moves non-relativistically in a circular orbit
,
(A) Write down the expressions for the current density and the vector potential as functions of and , the observer’s time and position. Calculate by applying the far field and dipole approximations, explaining clearly the meaning of each.
(B) Derive the Scaler potential from using the Lorentz Gauge condition.
(C) Calculate the electric field and the magnetic field ; ignore terms where is the wavelength of the emitted radiation why are such terms unimportant?
(D) Find then time averaged Prynting Flux .
(E) Integrate over a spherical surface of large r 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 as it , where are the polar angles of the position vector of the Observer.
Please work parts A,B,C,D further please do not copy paste other answers, please be details with your explanation, thank you for your work.
,
(A) Write down the expressions for the current density and the vector potential as functions of and , the observer’s time and position. Calculate by applying the far field and dipole approximations, explaining clearly the meaning of each.
(B) Derive the Scaler potential from using the Lorentz Gauge condition.
(C) Calculate the electric field and the magnetic field ; ignore terms where is the wavelength of the emitted radiation why are such terms unimportant?
(D) Find then time averaged Prynting Flux .
(E) Integrate over a spherical surface of large r 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 as it , where are the polar angles of the position vector of the Observer.
Please work parts A,B,C,D further please do not copy paste other answers, please be details with your explanation, thank you for your work.