A transmission line with a characteristic impedance Z, = 50 Q requires an impedance matching network to match a complex load impedance ZL = 75 – j100 N at 3 GHz. (You may solve by use of the attached Smith Chart and equations, by equations only or a combination of both.) (a) List and explain three methods of matching the impedance of the load to the feed line. (b) Using the single stub matching network shown in Figure QB1 for which the transmission line of length l, and the short-circuited stub of length l2 have 500 characteristic impedances, determine the values of , and l2 in mm assuming that the relative dielectric constant in all transmission lines is ɛ, = 2.1. 4 Input Z. Matching network Shorted stub Figure QB1: Single stub matching network

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Author:Robert L. Boylestad
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QB1
A transmission line with a characteristic impedance Z, = 50 Q requires an
impedance matching network to match a complex load impedance Z̟ = 75 –
j100 Q at 3 GHz. (You may solve by use of the attached Smith Chart and
equations, by equations only or a combination of both.)
(a) List and explain three methods of matching the impedance of the load to the
feed line.
(b) Using the single stub matching network shown in Figure QB1 for which the
transmission line of length l and the short-circuited stub of length l, have
500 characteristic impedances, determine the values of 4 and l, in mm
assuming that the relative dielectric constant in all transmission lines is ɛ, =
2.1.
in
4
Input-
Z.
Matching
network
Shorted stub
Figure QB1: Single stub matching network
Transcribed Image Text:QB1 A transmission line with a characteristic impedance Z, = 50 Q requires an impedance matching network to match a complex load impedance Z̟ = 75 – j100 Q at 3 GHz. (You may solve by use of the attached Smith Chart and equations, by equations only or a combination of both.) (a) List and explain three methods of matching the impedance of the load to the feed line. (b) Using the single stub matching network shown in Figure QB1 for which the transmission line of length l and the short-circuited stub of length l, have 500 characteristic impedances, determine the values of 4 and l, in mm assuming that the relative dielectric constant in all transmission lines is ɛ, = 2.1. in 4 Input- Z. Matching network Shorted stub Figure QB1: Single stub matching network
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