Answer Happy

1) (60 pts) The following pair of electric and magnetic field is given in a linear, isotropic and homogenous medium where o = 0, E = 100sin(6 × 10t)sinz ây H = -0.1328cos(6 × 107t)cosz âx a) Show that this pair satisfies the first two of Maxwell's Equations (Gauss' Law and the law of no isolated magnetic charge). b) Determine the relative permittivity (&) and the relative permeability (ur) of the given medium if the given pair satisfies all of the Maxwell's Equations. 2) (40 pts) Express x(t)'s as Acos(wt+ 0) if possible. Find A and 0 for part a and part b. Can the sum of two different sinusoidal signals be expressed as a single sinusoidal in all cases? Explain briefly. a) x(t) = 5cos(2π100t-30°) + 4sin(2100t-45°) b) x(t) = 3cos(2л200t-60°) + cos(2л100t-45°)