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Unformatted text preview: RF Circuit Design EE 40022 Spring 2004 Lecture 3 Transmission Lines John Scalzo HW 1; Chapter 1 1,3,6m,9m,10,25 Electromagnetic Waves cos( ) x x E E t z ω β = − cos( ) x x E E t z ω β = − Electric field propagating in the posz direction If the conducting medium is aligned with the zaxis, then the voltage drop along the zaxis can be found: sin( ) ( , ) z z X t z V z t E dl E ω β β − = − = ∫ he argument of the sinusoidal term couples space and time behavior. There is spatial ariation along the zaxis related to wavelength, and time variation along the time axis related to the period. sing 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 ω λ β ε µ 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. Plots show spatial variation at a fixed time (t=0) and time variation at a fixed location (z=0) along the medium.(z=0) along the medium....
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 Fall '06
 Scalzo
 Electromagnet, Magnetic Field, Permittivity, Fundamental physics concepts, Transmission line

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