Consider a coaxial cable, filled with a non-magnetic dielectric with relative dielectric constant & = 1.9. The cable has a characteristic impedance Z, = 75 Q and is 60 cm long. It is terminated to the right by a resistor R1 = 35 N in series with an inductor L, = 10 nH, and connected on the left to a generator with internal resistance Rg = 75 N. The generator produces a steady-state sinusoidal signal of amplitude VG = 1 V at frequency f = 800 MHz. The circuit is depicted in Figure 5 below. RG = 75N 60 cm R = 35 N VG Z0 = 75 N L, = 10 nH Figure 5 (i) The diameter of the inner conductor of the coaxial cable is d. = 1 mm. Calculate the diameter D. of the outer conductor. (ii) Using the Smith chart, calculate the reflection coefficient r, at the load. (iii) along the line to measure the value of the voltages along it. What is the minimum voltage you expect to measure? Suppose you can insert a slotted line between the cable and the load, and scan

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Consider a coaxial cable, filled with a non-magnetic dielectric with relative dielectric constant
&, = 1.9. The cable has a characteristic impedance Z, = 75 Q and is 60 cm long. It is
terminated to the right by a resistor R1 = 35 N in series with an inductor L, = 10 nH, and
connected on the left to a generator with internal resistance Rç = 75 N. The generator
produces a steady-state sinusoidal signal of amplitude VG = 1 V at frequency f = 800 MHz.
The circuit is depicted in Figure 5 below.
RG = 75 1
60 cm
RL = 35 N
wwo
Za = 75 N
L = 10 nH
Figure 5
(i)
The diameter of the inner conductor of the coaxial cable is d. = 1 mm. Calculate the
diameter D. of the outer conductor.
(ii)
Using the Smith chart, calculate the reflection coefficient r, at the load.
(iii) Suppose you can insert a slotted line between the cable and the load, and scan
along the line to measure the value of the voltages along it. What is the minimum voltage
you expect to measure?
Transcribed Image Text:Consider a coaxial cable, filled with a non-magnetic dielectric with relative dielectric constant &, = 1.9. The cable has a characteristic impedance Z, = 75 Q and is 60 cm long. It is terminated to the right by a resistor R1 = 35 N in series with an inductor L, = 10 nH, and connected on the left to a generator with internal resistance Rç = 75 N. The generator produces a steady-state sinusoidal signal of amplitude VG = 1 V at frequency f = 800 MHz. The circuit is depicted in Figure 5 below. RG = 75 1 60 cm RL = 35 N wwo Za = 75 N L = 10 nH Figure 5 (i) The diameter of the inner conductor of the coaxial cable is d. = 1 mm. Calculate the diameter D. of the outer conductor. (ii) Using the Smith chart, calculate the reflection coefficient r, at the load. (iii) Suppose you can insert a slotted line between the cable and the load, and scan along the line to measure the value of the voltages along it. What is the minimum voltage you expect to measure?
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