In a radiation field with electrical & magnetic field (e, b), we put an electron into this radiation field, the electron would experience the lorentz force and thus be accelerated via newton's second law: ma= f = -eē+ū x b). since b pē, the lorentz force due to the magnetic component b, can be neglected for slow motion (i. e. v/c< < 1). after the electron is accelerated, it will irradiate to generate a radiation field. assuming e = e o cos(wt + a). answer the following questions: (a) what is the electric field irradiated from the accelerated electron? (b) what is the poynting vector of the irradiated radiation field from the electron? (c) what is the time average of the poynting vector over a period t = 23? (d) what is the total averaged irradiated power to a surface area, da= x2 sin dedo? (e) if you define sin = 1e2, what is the time average of the poynting's vector of the incident radiation field? (f) if define the so-called cross-section as follows: 1 dp sinda do do what is the cross-section in this problem? (g) what is the total cross-section of this process? note that you will need the following integral 1 / dt cos? (wt+a)= } to take the time average.