- 50 Minutes - 10 points - Show sufficient analytic work 1. What are the main characteristics of lossless and lossy mediums? What is the main difference between them? 2. Find the magnetic field intensity in vacuum given an electric field intensity: E= 24 sin(10%t-7x). Likewise, find the electric field intensity in vacuum given a magnetic field intensity: H 3 cos(105t +82). = 3. A poor conductor is characterized by a conductivity σ = 40S/m and electric per- mittivity € = 360. At what angular frequency w is the amplitude of the conduction current density equal to the amplitude of the corresponding displacement current density? 4. The magnetic field intensity of an electromagnetic wave propagating in a lossless medium with € = 760 and μ=0 is given by E(y,t) = 1.2 sin(106t-ky +/3) (V/m). What is the corresponding k and E(y, t)? 5. Over what frequency range may a material with e, = 3, 4 = 1 and σ = 10-1 (S/m) can be regarded as a conductor? 6. What is the Poynting theorem and what is its importance in electromagnetic? Also, for a wave traveling in a medium with skin depth 6,, what is the amplitude of E at a distance of 96, compared to its initial value? 1 2. Find the magnetic field intensity in vacuum given an electric field intensity: E- = 24 sin(10%t-7x). Likewise, find the electric field intensity in vacuum given a magnetic field intensity: Hŷ3 cos(105t +82). = 3. A poor conductor is characterized by a conductivity σ = 40S/m and electric per- mittivity = 360. At what angular frequency w is the amplitude of the conduction current density equal to the amplitude of the corresponding displacement current density? 4. The magnetic field intensity of an electromagnetic wave propagating in a lossless medium with e= 7eo and μo is given by E(y,t) = 1.2 sin(10°t - ky+/3) (V/m). What is the corresponding k and E(y, t)? 5. Over what frequency range may a material with e, 3, μr = 1 and σ = 10-1 (S/m) can be regarded as a conductor? =