The following complex electric field of a time-harmonic wave traveling in a source-free, free- space region is given by Ē = 5×10ª³ (4⸠+3â²)e³(6y-8z) V/m. Assuming y and z represent their respective distances in meters, determine: The angle of wave travel (relative to the z axis). The phase constants of the wave along its direction of travel, the y axis, and the z axis (in radians per meter). The wavelengths of the wave along its direction of travel, the y axis, and the z axis (in meters). The frequency of the wave. The phase velocities of the wave along the direction of travel, the y axis, and the z axis (in meters per second). The associated magnetic field.

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The following complex electric field of a time-harmonic wave traveling in a source-free, free-
space region is given by
Ē = 5×10ª³ (4⸠+3â²)e³(6y-8z) V/m.
Assuming y and z represent their respective distances in meters, determine:
The angle of wave travel (relative to the z axis).
The phase constants of the wave along its direction of travel, the y axis, and the z axis (in radians
per meter).
The wavelengths of the wave along its direction of travel, the y axis, and the z axis (in meters).
The frequency of the wave.
The phase velocities of the wave along the direction of travel, the y axis, and the z axis (in meters
per second).
The associated magnetic field.
Transcribed Image Text:The following complex electric field of a time-harmonic wave traveling in a source-free, free- space region is given by Ē = 5×10ª³ (4⸠+3â²)e³(6y-8z) V/m. Assuming y and z represent their respective distances in meters, determine: The angle of wave travel (relative to the z axis). The phase constants of the wave along its direction of travel, the y axis, and the z axis (in radians per meter). The wavelengths of the wave along its direction of travel, the y axis, and the z axis (in meters). The frequency of the wave. The phase velocities of the wave along the direction of travel, the y axis, and the z axis (in meters per second). The associated magnetic field.
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