The input impedance of a 31 - cm - long lossless transmission line of unknown characteristic impedance was measured at 1 MHz. With the line terminated in a short circuit, the measurement yielded an input impedance equivalent to an inductor with inductance of 0.064uH, and when the line was open-circuited, the measurement yielded an input impedance equivalent to a capacitor with capacitance of 40uH. Find Zo of the line, the phase velocity, and the relative permittivity of the insulating material.
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The input impedance of a 31 - cm - long lossless transmission line of unknown characteristic...
A transmission line has an unknown characteristic impedance of Zo. The length L of the transmission line is also unknown. When the transmission line is short circuited (Zi - 0) at one end, the measured input impedance at the other end is Zv Zsc. When the transmission line is open circuited (Zi- oo) at one end, the measured input impedance at the other end is ZiNZoc Find the characteristic impedance Zo of the transmission line.
Question 4 (a) The input impedance of a lossless air-core transmission line with characteristic impedance Ro. phase constant B and length I terminated in an impedance Z, is given by R,+Z, tan( i. Determine the length of an open circuit 50Ω line required to create a 0.1 nH inductor at a frequency of 10 GHz. (6 marks) ii. Determine the input impedance of the line in part () if the open circuit is changed to a short circuit. (3 marks)...
A 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a source with vg(t) = 10 sin(611 10't + 60°) (V) and Zg=150 12. If the line, which uses insulating material with a relative permittivity of &r=4, is terminated in a load ZŁ=(100 – j 50) (2, determine: (a) Wavelength a on the line. (b) The reflection coefficient I at the load. (c) The input impedance at the source. (d) The voltage phasor V; at...
32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line is v2zo and assume lossless line) and there are two loads of load impedance Zo 214 iz Zi=?> 2/4 A/4 short 32/4 (a) Find the input impedance (Zn) (b) If the input power is 1 watt, find the transmitted power to each load Zo 32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line...
2. Find the reflection coefficient, SWR, and the input impedance at the distance & from the end of the line for the transmission line with characteristic impedance Zo and the load impedances: (a) capacitance C (b) inductance L (c) impedance ZĻ = Zo (d) another transmission line with characteristic impedance Ž (e) open circuit (R = ) (f) short circuit (R = 0)
For a lossless transmission line extending from 1 = -1 to 1 = 0) with characteristic impedance Zo, and terminated with a load impedance, ZL, find the ratio of the backward to forward voltage wave amplitude, V /V+.
A DC voltage Vs is applied to a lossless transmission line of length L, with characteristic impedance Zo and propagation velocity Up. The line is terminated in a short circuit. Draw the "bounce diagram" for the voltage along the line as a function of time for the following cases: a) Rs = 1/3Zo b) Rs = 3Zo c) Rs= Zo Where Rs is the source impedance. For the case Rs= Zo plot the voltages at both ends of the line...
2. (40 point total) A lossless, air dielectric transmission line is 0.75 meters long and has a characteristic impedance of 50 ohms. The line operates at a frequency of 300 MHz and is terminated in a load impedance Z1-50+j10 ohms. (a) (10 pts) Sketch and label a circuit diagram showing the transmission line, load impedance and indicating the input impedance, Zin, to the terminated line section. Include relevant information given above in this sketch. (b) (10 pts) Find the complex...
3-8. A lossless transmission line is terminated in an open circuit. The sending end is ener gized by a generator which has an open-circuit output voltage of V, (rms) and an inter- val impedance equal to the characteristic impedance of the line. Show that the sending- end voltage is equal to the output voltage of the generator. 3-8. A lossless transmission line is terminated in an open circuit. The sending end is ener gized by a generator which has an...
A section of transmission line of 50 ohm characteristic impedance and 3x10^8 m/s propagation velocity carries simultaneously 300 MHz and 150 MHz signals. The line is terminated in a parallel connection of two sections of the same line, both sections terminated in 50 ohm resistance designated A and B. A 50 cm long open-circuited section is connected 50 cm from the connection to the driving line across the line terminated in resistance A. A 50 cm long short-circuited section (of...