Answer to Question #54539 in Electricity and Magnetism for Kim

Question

A uniform plane wave travels through free space, and its instantaneous electric field intensity vector is expressed as

E=15cos(ωt+10πz+θ) yˆ V/m

Where time is in seconds, position z is in meters. The magnetic field intensity of the wave is
H=0.02 A/m at t = 0 and z = 1.15 m. Determine

(a) The operating frequency and initial (for t = 0) phase θ of the electric field in the plane z = 0.
(b) Expression for the instantaneous magnetic field intensity vector
(c) The complex magnetic field intensity vector