Thanks in advance! --Eric This problem involves a transmission line which is los
ID: 2080704 • Letter: T
Question
Thanks in advance!
--Eric
This problem involves a transmission line which is lossless coaxial cable filled with a dielectric material sigma = 16sigma_0, mu = mu_0. The frequency of operation is f = 10 GHz At the frequency given above (f = 10 GHz), what is the load impedance l (Z_L1) and load impedance 2 (Z_L2)? What is the input impedance Z_in looking into the junction of the two lines? Consider using a shorted stub (also with Z_0 = 50 Ohm, sigma = 16sigma_0, mu = mu_0) as shown to prevent any reflections back on the feedline and into the generator. What values of d and l should be chosen to achieve matching to the line? Give these length values in term of the wavelength lambda.Explanation / Answer
In general Zl=R+jX for inductive and ZL=R-Jx for capacitive
At f=10GHz,L=1.2nH,C=1pF,R=50
a)Load impedance calculation
For ZL1=R+jXL where XL=2fL
XL=2x3.14x10x109x1.2x10-9
=75.36
ZL1=50+j75.36
For ZL2=R-jXC where XC=1/2fC
XC=1/(2x3.14x10x109x10-12)
=15.92
ZL2=50-j15.92
b)Input impedance calculation
Total load impedance,ZL=ZL1+ZL2
ZL=50+j75.36+50-j15.92
=100+j59.44
=c/f=3x108/10x109
=3cm
l=50cm
l=(2/)l=(2x x50)/3
=100 /3
Zin=Z0[(ZLcosl+jZ0sinl)/(Z0cosl+jZLsinl)]
=50[(100+j59.44)(-0.5)+j(50)(-0.86)]/[50(-0.5)+j(100+j59.44)(-0.86)]
=50[(-50-j72.72)/(-76.11-86j)]
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.