Electromagnetic Fields and Waves Review

Please show your OWN WORK AND STEPS THIS TIME, NO AI, WHICH MEANS ANY AI WEBSITES, and how you got the answer, so I can understand the problem better.

1. Find E, if Ez = $2 - 93 + 23- 0.0 E and 81 = 280 and E2 = 80 x-y plane (a) If the boundary is charge free (b) If there is a surface charge density with a magnitude such that Ps = 10co. ** Note that the x-y plane is tangent to the surface and the z plane is normal. 2. Explain in words: a) the "problem with Ampere's Law". That is, why was it necessary to invoke the displacement current? b) What is a uniform plane wave? Describe its properties both physically and mathematically. Under what conditions is it appropriate to treat a spherical wave as a plane wave? 3. A 10 MHz uniform plane wave is traveling in a nonmagnetic medium with A = Mo and = 9. Find (a) the phase velocity, (b) the wavenumber , (c) the wavelength 2 in the medium and (d) the intrinsic impedance n of the medium. . O