set5solution

set5solution - ECE 222B, Winter 2010 Solution to Homework...

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: ECE 222B, Winter 2010 Solution to Homework Set 5 1. Problem 8-2, Balanis Solution: Calculate a number of guide parameters given the dimensions a = 0 . 02286 m and b = 0 . 1016 m, and relative permittivity r = 2 . 56. It follows that the speed of light in the waveguide is c = 2 . 99 10 8 / r m/s = 1 . 87 10 8 m/s. The intrinsic impedance for the medium is = / r 235 Ohms. (a) Calculate the cutoff frequency for the TE 10 mode in GHz. ( f c ) 10 = c 2 a 4 . 1 GHz (b) Calculate the guide wavelength (z-directed wavelength) for the TE 10 mode at 10 GHz. Express answer in cm. Let f = 10 GHz. Then the total wavelength at frequency f within the guide is = c/f = 0 . 0187 m. It follows that ( g ) 10 = p 1- ( f c ) 2 10 /f 2 = 0 . 0205 m = 2 . 05 cm (c) Calculate the wave impedance Z w for the TE 10 mode at 10 GHz. Z w = p 1- ( f c ) 2 10 /f 2 = 258 Ohms (d) Calculate the z-directed phase velocity v p for the TE 10 mode at 10 GHz in units of m/s....
View Full Document

This note was uploaded on 10/09/2010 for the course ECE 230 at UCSD.

Page1 / 4

set5solution - ECE 222B, Winter 2010 Solution to Homework...

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