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 20ˆ(4030)V/mjzsxje−=−Ea. Find a)Angular frequency ωb)Wave number βc)Frequency fd)Wavelength λe)The phasor form of the magnetic field strength ()szH(by using Faraday’s law in point form, i.e., 0ssjωμ∇×EH). f)The magnetic field strength (,)ztHat 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 8ˆ( , )10cos(21020 )A/mxtzπβ°=×−+Ha. Find a) Wave number βb) Wavelength λc) The phasor form of the magnetic field strength szHd) The phasor form of the electric field strength szEe) The electric field strengthsEProblem 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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