An electric field propagates along the z-direction and has only one component along the x -axis. It can be generally described by the equation (phasor form): Ex = E+ exp (-jbz) + E- exp (+jbz) At z=0, there is a mirror (perfect conductor); using the boundary condition Ex =0 at z=0, find: The relation between E- and E+ , also known as the “reflection coefficient”.The time expression of the total electric field for z < 0, assuming an angular frequency w.The distance between the maxima and minima of the electric field. (THIS PROBLEM IS ENTIRELY EQUIVALENT OF AN IDEAL TRANSMISSION LINE SHORT-CIRCUITED AT Z= 0).

Answered: An electric field propagates along the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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An electric field propagates along the z-direction and has only one component along the x -axis. It can be generally described by the equation (phasor form):

E_x = E⁺exp (-jbz) + E^-exp (+jbz)

At z=0, there is a mirror (perfect conductor); using the boundary condition E_x =0 at z=0, find:

The relation between E^-and E⁺, also known as the “reflection coefficient”.
The time expression of the total electric field for z < 0, assuming an angular frequency w.
The distance between the maxima and minima of the electric field.

(THIS PROBLEM IS ENTIRELY EQUIVALENT OF AN IDEAL TRANSMISSION LINE SHORT-CIRCUITED AT Z= 0).

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