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Unformatted text preview: EERF 6311 Homework #1, Quiz #1 on Wednesday September 8, 2010 2.6 RG-402U semi-rigid coaxial cable has an inner conductor diameter of 0.91 mm, and a dielectric
diameter (equal to the inner diameter of the outer conductor) of 3.02 mm. Both conductors are copper,
and the dielectric material is Teﬂon. Compute the R, L, G, and C parameters of this line at 1 GHz, and
use these results to ﬁnd the characteristic impedance and attenuation of the line at 1 GHz. Compare your results to the manufacturer’s speciﬁcations of 50 $2 and 0.43 dB/m, and discuss reasons for the
difference. 2.8 A lossless transmission line of electrical length e = 0.3). is terminated with a complex load impedance ‘as shown below. Find the reﬂection coefﬁcient at the load, the SWR on the line, the reﬂection coefﬁcient
at the input of the line, and the input impedance to the line. l = 0.3)1 2.9 A lossless transmission line is terminated with a 100 9 load. If the SWR on the line is 1.5, ﬁnd
two possible values for the characteristic impedance of the line. 2.14 Calculate SWR, reﬂection coefﬁcient magnitude, and return loss values to complete the entries in
following table: SWR |r| RL (dB)
1.00 0.00 00
1.01 —— —
._ 0.01 —
1.05 — ~—
_ ._ 30.0 i?
1.10 -— -—
1.20 —— —
- 0.10 —
1.50 — —
__ __ 10.0
2.00 — - 2.19 Use the Smith chart to ﬁnd the following quantities for the transmission line circuit below: (a) The SWR on the line. (b) The reﬂection coefﬁcient at the load. (c) The load admittance. (d) The input impedance of the line. (e) The distance from the load to the ﬁrst voltage minimum.
(1?) The distance from the load to the ﬁrst voltage maximum. l=0.4)t———-——-—* zin:‘,> zo=soo V ZL=6O+j50S2 2.22 Use the Smith chart to ﬁnd the shortest lengths of a short-circuited 75 52 line to give the followit input impedance:
(3) Zin = 0- (b) Zin = 00- (0) Zin = j75 :2.
(d) zin = -j50 S2.
(e) Zin = 1'10 52. 2.23 Repeat Problem 2.22 for an open-circuited length of 75 £2 line. ...
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