Question

quarter-wavelength stubs of transmission lines are used as impedance- matching transformers. the formula for the proper characteristic impedance of matching the section is Zmatching= sqrt{Zlines x Zload}, where Zline is the characteristic impendance of the transmission line and Zload is the impedance of the load which must be matched to the transmission line. Assume that a transmission line having a characteristic impendance 300ohms is matched to an unknown load. You know that the characteristic impedance of a quarter-wave matching section is 72 ohms. What is the impendance of the load? 1) 125

Answer 1

1)1250ohms 2)172.8ohms 3)35.36ohms 4)353.6ohms 5)125.0ohms 6)17.28ohms

Answer 2

Zlines=300ohms
Zload=?
Zmatching=72ohms

Answer 3

\[72=\sqrt{300 x}\]

Answer 4

\[72^2=300 x\]

Answer 5

5184 = 300 x
x=432/25

Answer 6

17.28

Answer 7

how did you get the 432/25?

Answer 8

5184 = 300 x
\[\frac{5184}{300}=x\]

Answer 9

hum i still dont really understand you divided 5184 by 300 and that comes to 17.28 but how did you get 432 divided but 25?

Answer 10

simplifying \[\frac{5184}{300}\] into
\[\frac{432}{25}\]