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EE325_HW10

# EE325_HW10 - EE325-Fall 2009 Problem Set 10 Problem 1 In...

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EE325-Fall 2009 Problem Set 10 Problem 1 In phasor form the electric field strength of a uniform plane wave in free space is expressed as 20 ˆ (40 30) V/m jz sx je =− Ea . Find a) Angular frequency ω b) Wave number β c) Frequency f d) Wavelength λ e) The phasor form of the magnetic field strength () s z H (by using Faraday’s law in point form, i.e., 0 ss j ωμ ∇× EH ). f) The magnetic field strength (,) zt H at the space-time point ( , , , ) (6, 1,0.07,71 ps) xyzt . Problem 2 The magnetic field strength of a plane wave in free space is given as 8 ˆ ( , ) 10cos(2 10 20 ) A/m x t z πβ ° + Ha . Find a) Wave number β b) Wavelength λ c) The phasor form of the magnetic field strength s z H d) The phasor form of the electric field strength s z E e) The electric field strength s E Problem 3 Problem 12.8 in the textbook. Problem 4 Typical data for dry soil are given below for different frequencies. By calculating values for the penetration depth, obtain a first-order answer to each of the following questions:
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