# Answer to Question #54539 in Electromagnetism for Kim

Question #54539

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

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

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