161_1_Midterm_1_2009_spring

# 161_1_Midterm_1_2009_spring - EE161 Electromagnetic Waves...

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EE161 Electromagnetic Waves Spring, 2009 Midterm One Name: Student ID: Score:

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Problem #1 (33pts). The electric field of a plane wave propagating in air has the following expression given by ) 4 3 cos( 8 . 1 ˆ ) 4 3 sin( 3 ˆ ) 4 3 cos( 4 . 2 ˆ ) ( z x t z z x t y z x t x t + + = ω E . (1) (6pts) find the frequency of the wave. (2) (6pts) find the angle between the propagation direction and the Z-axis. (3) (6pts) what polarization is this wave? (4) (6pts) If this wave incident on a plane boundary at z=0 between the air and a medium of ε r =4, what is the refraction angle (5) (9pts) write down the phasor expression of both the electric field and the magnetic field in both regions.
Problem #2. (33 pts) A submarine was able to receive a signal from a 5KHz radio station nearby when it is right below the ocean water surface and it was measured to be a strength of 100 mv/m in electric field. The medium property of sea water is . Find (1) (7 pts) whether or not the sea water is a good

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## 161_1_Midterm_1_2009_spring - EE161 Electromagnetic Waves...

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