Lecture 3

Lecture 3 - RF Circuit Design Lecture 3 Transmission Lines...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
RF Circuit Design Lecture 3 Transmission Lines
Background image of page 1

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

View Full DocumentRight Arrow Icon
Electromagnetic Waves 0 cos( ) x x E E t z ϖ β = - 0 cos( ) x x E E t z = - Electric field propagating in the pos-z direction If the conducting medium is aligned with the z-axis, then the voltage drop along the z-axis can be found: 0 sin( ) ( , ) z z X t z V z t E dl E - = - = The argument of the sinusoidal term couples space and time behavior. There is spatial variation along the z-axis related to wavelength, and time variation along the time axis related to the period.
Background image of page 2
Using the equation for phase velocity we can then compute the wavelength of a frequency traveling through a material. 1 p r r c v f ϖ λ β εμ ε μ = = = = Now let’s compare the wavelength of two frequencies in a 1.5 cm long wire. Spatial variances in voltage at 10 GHz are significant for a 1.5 cm wire. Transmission Line Circuit Analysis
Background image of page 3

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

View Full DocumentRight Arrow Icon
Plots show spatial variation at a fixed time (t=0) and time variation at a fixed location (z=0) along the medium. • For low frequency applications we ignore this spatial variation • RF frequencies can have large spatial variations
Background image of page 4
We cannot.
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/31/2012 for the course EE 4002 taught by Professor Scalzo during the Fall '06 term at LSU.

Page1 / 21

Lecture 3 - RF Circuit Design Lecture 3 Transmission Lines...

This preview shows document pages 1 - 6. Sign up to view the full document.

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