1. A plane wave in free space with H¹ = ✰He¯¹² is incident normally upon a-jkzperfectly conducting half-space (z ≥ 0). A reflected wave H = Hejk isgenerated.(a) Find H, in terms of H, by enforcing the boundary condition on the conductor.(b) What is the surface current density induced on the conductor?

Answered: Image /qna-images/answer/0fcbc955-ea00-4244-8775-e3b66e9b91b1.jpg

1. A plane wave in free space with H¹ = xHe is incident normally upon a perfectly conducting half-space (z≥ 0). A reflected wave H' = H,etjkz is generated. (a) Find H, in terms of Ho by enforcing the boundary condition on the conductor. (b) What is the surface current density induced on the conductor?

1. A plane wave in free space with H¹ = xHe is incident normally upon a perfectly conducting half-space (z≥ 0). A reflected wave H' = H,etjkz is generated. (a) Find H, in terms of Ho by enforcing the boundary condition on the conductor. (b) What is the surface current density induced on the conductor?

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

A flat and homogeneous wave polarized in the x-direction and having a frequency of 150 Mhz propagates in air from the negative z direction to the positive z direction. This wave hits an ideal conducting plane which lies at z = 0. If the amplitude of the electric field is 12 mV/m.Calculate:The phasor shape and time function of the reflected electric and magnetic fields!
A current density of +2500A/cm2 exists in a semi conductor having a charge density of 0.01 C/cm3. What are the carrier velocities?
A piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.8 F/m, and 8.5 H inductance per meter. Assume the diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 2.9. Find the diameter of the outer conductor in cm?
3. As shown in the figure, a current of 3D204 flows through a long U-shaped (hairpin)-shaped conductor made by bending the conductor in a semicircle with a radius of R = 100mm. Point 6 is the middle of the straight part, very far in a semicircle, and the straight part can be approximated as an infinity line. Find the (a) magnitude and (b) direction of B at point a, respectively, and (c) magnitude and (d) | Find each direction.
A conductor 0.5 m long is moved at right angle to a uniform field strength of 0.12 Wb/m^2 at a speed of 0.2 meter per second. Find the value of emf induced.
For the network shown below, find the current I,, and the source power factor. Xc 60 Ω R1 R, 10 Ω 20 Ω E = 40 V Z 0° | V1 80 Ω %3D O 1.424 L-18.3° A, and 0.9494 leading O 14.24 218.3° A, and 0.9494 leading O 1.424 218.3° A, and 0.9494 leading O 1.424 218.3°MA, and 0.9494 leading O 1.424 418.3° A, and 0.9494 lagging ll
Q8 - You wish to end up with a 2um width metal line (measured at the top of the metal lead cross section). A) You are using an isotropic wet etch process on a 1um thick metal layer. What linewidth should the protective photoresist line be to get these results? Sketch the resulting structure before photoresist strip. B) now you are using a completely anisotropic etch, what is the requisite linewidth of the photoresist to achieve the same end goal? Sketch the resulting structure before the stripping of the photoresist.
1. A plane wave with E (z)= [(1 +j)x+ (1-j) ^y] e+/¹0z exists in a lossless medium with &=480, H = μlo. z is in meters. (a) What is the frequency of this wave? (b) Find the corresponding magnetic field, H(z).
What will be the electric field associated with an electromagnetic wave having a magnetic field of Hrms=0.25 A/m. The wave is propagating through free space.
The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is H₂ = 3 cos (2.094x10²x) cos (2.618x10²y) cos (6.283×10¹0 t - Bz) 1.2 cm 3 cm The phase velocity V, of the wave inside the waveguide satisfies (A) Vp > C (B) Vp = C (C) 0 < Vp
A uniform plane wave is propagating in the z-direction in a simple lossless nonmagnetic medium (=Ho). The wavelength is 0.2 m and the phase velocity is 108 m/s. The electric field is polarized along the y-direction and its maximum amplitude is 20 V/m. a) Find the frequency of the wave and the relative permittivity of the medium. b) Write the complete time-domain expression for the magnetic field.
The following equation describes a wave propagating in lossless medium: y(x, t) = 5.ex0.005 cos(20 * 10°t + 20x + 30°) %3D Select one: O a. False. Because the equation contains a = 0.005. O b. False. Because the equation a phase shift 30°. O c. True. Because a is negative -0.005 O d. True. Because the wave is not polarized.