Provide step by step solution with formulas and explanation. Source: Zangwill's Modern Electrodynamics. Give your OWN and complete solutions. Problem 16.25, from Zangwill. A particle with charge q and mass m interact with a circular polarized plane wave in a vacuum. The electric field of the wave is E(z, t) = Re[(& + iy)Eexp[i(kz - t)]. (i) Let l = Vei(kz-t) ic/w and show that dVz 1 p U ++1_=i I + dt=2 2wdt (ii) Let K be the constant of the motion defined by the two V, equations above.Differentiate the equations in part (a) and establish that dt2