Sketch the wave at t=0 and t=T/4
Explain the behavioral difference between a uniform plane wave propagating in a lossless medium and a lossy medium. A uniform plane wave is propagating through a medium characterized by σ=120 and ε=3 mhos/m. The associated electric field intensity of the wave is given by E=2e^(sin(10x)) A/m.
(i) What type of medium, i.e. free space, lossy dielectric, or conducting, is the wave propagating through? Justify your answer.
(ii) Find the expression of magnetic field intensity.
(iii) Find the phase difference between the electric field and magnetic fields.
(iv) Find a.
(v) Plot the magnitude of the electric field with respect to the z-axis.
(vi) How long distance will the wave travel before its magnitude is reduced by a factor of e^(-i)?