In phasor form, the field intensity of a uniform plane wave in free space is given by

E _B (vector) = (40-30ĵ) e ^-j20z â _x v/m

a) Find the operating frequency f. b) Find the wavelength 2. c) Express (t) as a function of time t d) Find Its, the magnetic field intensity in phonor form as a e) Express Hit), the magnetic field intensity H(z,t) at P(6,-1,0.07) at t = 71 ps. f) Find function of timet. 2) Express both E and I as functions of time for a 30 HH uniform plane wave propagating in the z direction in a lossless medium having E = 20 pF/m and N = 5 NH/M. has only an x component and it positive maximum amplitude of 800 v/m at 2=0.4m when t = 6ns.. reaches a 83) A uniform plane wave with w= 5x10 rad/s is incident from medium A, 220, A=0, ERA = 4 NRA = 1, onto medium 6, 270, =0, ERG = 10, PRO = 4. If the electric field intensity of the incident wave is 2.4 V/m at 2=0 at t=0, Find: ^) AA and Po, b), c) En(t), d) Eg (t), e) HA at (0,0,-1) at t=5ns -24) At the frequency of 3 GH, the dielectric constant of ice made from pure water has a If a uniform plane wave is propagating through such crossing area of 1m at value of 3.2, while the loss tangent is 0.009. with an amplitude of 100 v/m at Z=0 ice, find the time- averaged power 2=0 and 2= 5m. an