EE1 HW 7 Sol

EE1 HW 7 Sol - EE1 Spring 2008 Homework Solutions #7 (1)...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EE1 Spring 2008 Homework Solutions #7 (1) The magnetic field in a given dielectric medium is given by: ~ H = y 6 cos 2 z sin (2 10 7 t- . 1 x ) where x and z are in meters. Determine: (a) ~ E By inspection, we can see that the given plane-wave is propagating in the x-direction. We make = 2 10 7 and k = 0 . 1. From Faradays Law (also Maxwells equations): ~ E =- ~ B t We know ~ B = ~ H : ~ B = y 6 cos 2 z sin ( t- kx ) Calculating the two sides of Faradays Law: ~ E = x ( E z y- E y z ) + y ( E x z- E z x ) + z ( E y x- E x y ) ~ B t = y 6 cos 2 z cos ( t- kx ) Equating like terms: ( E x z- E z x ) =- 6 cos 2 z cos ( t- kx ) Since the plane-wave is traveling in the x direction, there cannot be a field component in the x-direction. Thus, E x must be zero. Then: E z x = 6 cos 2 z cos ( t- kx ) Integrating, E z =- 6 cos 2 z sin ( t- kx ) k 1 The parameter...
View Full Document

This note was uploaded on 06/18/2008 for the course EE 1 taught by Professor Joshi during the Spring '08 term at UCLA.

Page1 / 4

EE1 HW 7 Sol - EE1 Spring 2008 Homework Solutions #7 (1)...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online