- #1

nagr

- 5

- 0

## Homework Statement

Find V(L) voltage across load

## Homework Equations

Vg=2cos(wt)

Zg=Zl=200

Zo=50

[itex]\Gamma[/itex]=[itex]\frac{Zl-Zo}{Zl+Zo}[/itex]

L'R'=με (all TEM lines)

μ0=4∏E-7

ε0=8.854E-12

## The Attempt at a Solution

Basically I think that with the 1st one, i don't have to deal with reflection or whatever. i could be wrong, since Zo does not equal Zl in both problems, which means there has to be reflection. but the equation I used for the 1st problem was in my book, and its similar to the voltage source equation. 2cos(wt-θ) where θ=wl/c. Since we have to graph V(L) for both as a function of length which is in terms of wavelength, this is also listed in book as θ=2∏*(l/λ). The only other thing that confuses me is that frequency is not given, so i can't find w. How can I vary both length (in terms of wavelength) and frequency, which is nowhere mentioned in the problem?? maybe i am doing this wrong.

for the 2nd problem. i think this is basically the same as the 1st one, except now we deal with reflection. since we also deal with R' L' G' C' (with R'=G'=0). the main breakthrough ive had with this problem is finding [itex]\Gamma[/itex]=0.6 which was easy. But i have no idea what to do from here. if I ASSUME that the relative permittivity is the same as in in air (that is εr=1) THEN i calculate R' L' using the equations Zo=50=sqrt(L'/C') and β=w*sqrt(L'C')=w*sqrt(με), and if i do that I get C'=6.671E-11 and L'=1.668E-7 but, i dont want to assume anything. can someone help me? i have the equations but theres no problem like this in my book, plus im lacking values like frequency and εr, so im not sure what exactly to do.

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