Consider two separate plane electromagnetic waves in free space having electric field phasors E = (a + jŷ) ejßz V/m and E2 = (1-j)ĝej³z V/m. (a) What are the individual polarization states of these two waves? (b) Calculate the time-average power density (Poynting vector) associated with E₁ alone (c) Calculate the time-average power density associated with E2 alone (d) What is the polarization state of the vector sum of the two fields E=E₁ + E₂? (e) Calculate the time-average power density associated with the vector sum of the two fields E = E₁ + E2, and compare it with the sum of your answers in parts (b) and (c). (f) How much of the total time-average power (in Watts) radiated by E=E₁ + E₂ is intercepted by a circular antenna of radius 30 cm in the x-y plane? Provide a numerical answer using n = 120.

Consider two separate plane electromagnetic waves in free space having electric field phasors E = (a + jŷ) ejßz V/m and E2 = (1-j)ĝej³z V/m. (a) What are the individual polarization states of these two waves? (b) Calculate the time-average power density (Poynting vector) associated with E₁ alone (c) Calculate the time-average power density associated with E2 alone (d) What is the polarization state of the vector sum of the two fields E=E₁ + E₂? (e) Calculate the time-average power density associated with the vector sum of the two fields E = E₁ + E2, and compare it with the sum of your answers in parts (b) and (c). (f) How much of the total time-average power (in Watts) radiated by E=E₁ + E₂ is intercepted by a circular antenna of radius 30 cm in the x-y plane? Provide a numerical answer using n = 120.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Problem 6. In what situations are the group and phase velocities equal for an electromagnetic wave?
A uniform plane wave has a wavelength of 2 cm in free space and 1 cm in a perfect dielectric. What is tbe relative permittivity of the of the dielectric ?
Problem [9] The magnetic field of a plane wave traveling in air is given by E = x50cos(2710't – kz). Determine the average power density carried by the wave.
I've seen this is the formula to calculate the wave frequency in free space. But where is this from?
An EM wave travels in free space with the electric field component E, = 100 eKO.866v+0.52) a, V/m Determine w and A
A uniform plane wave in air partially reflects from the surface of a material whose properties are unknown. Measurements of the electric field in the region in front of the interface yield a 1.5-m spacing between maxima, with the first maximum occur- ring 0.75 m from the interface. A standing wave ratio of 5 is measured. Determine the intrinsic impedance, 1„, of the unknown material.
A uniform plane electromagnetic wave incident normally on a planesurface of a dielectric material is reflected with a VSWR of 3. What is the percentage of incident power that is reflected?
If the electric field and magnetic field associated with a em wave is 2 V/m and 0.0052 A/m, then what will be the intrinsic impedance of free space?
What are reflection and transmission coefficients? Derive the formula for the same. When an EM wave travels from a dielectric (medium-1) to the conductor,then what will be the value of these parameters?
2. A free electron can be modeled as a plane wave, (t) = e²(ka-wt). Using the de Broglie relations for k and w, calculate the phase velocity of this wave, vph = w/k for an electron with kinetic energy K = 2.2 MeV. Can any information be transmitted at this speed?
An EM wave travels in free space with electric field component E, 100 e0.866y+0.52) a, V/m Find w and A
Problem 2. The general wave equation for the electric field E: a²Ē 1 aj = - Using the same approach, derive an equivalent equation for the magnetic field intensity vector H.