20095ee101_1_HW5

20095ee101_1_HW5 - EE 101 Homework 5 Due date: Nov 19, 2009...

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Unformatted text preview: EE 101 Homework 5 Due date: Nov 19, 2009 1) The electric field of an electromagnetic wave = is the sum of = and = Find 0.04 cos[ 10 ) sin (6 10 − − ) −] 3 (A/m) in air, find and . 0.03 sin[ 10 − ] cos[ 10 − +] and . = y 2 cos(15 2) a) Given that b) It is known that the electric field intensity of a spherical wave in free space is = cos ( − ) Determine the magnetic field intensity and the value of . 3) For a harmonic uniform plane wave propagating in a simple medium, both and vary in accordance with the factor (− . ). Show that the four Maxwell’s equations for a uniform plane wave in a source-free region reduce to the following: = . . =0 =0 =− 4) The -field of a uniform plane wave propagating in a dielectric medium is given by 1 1 ( , ) = x 2 cos 10 − − y sin 10 − √3 √3 (a) Determine the frequency and wavelength of the wave (b) What is the dielectric constant (permittivity) of the medium? (Find as a function of magnetic permeability of the medium for this question, but keep it in your mind that you can actually calculate the value of dielectric constant - search ‘group velocity’ concept ) (c) Find the corresponding -field. ...
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