H 2.1 m has characteristic impedance of 80+ jill When the line is short-circuited the input imped...
b) A lossy transmission line of length 2.1 m has a characteristic impedance of (80 + 160). When the line is short circuited, the input impedance is (30 - j12). (1) Determine the phase constant. (i) Find the input impedance when the short circuit is replaced by Z = (40 + 130) [3 marks]
3. A short circuited line of length / with characteristic impedance 2, has an input load at 2 = 0 from the generator with EMF voltage V = Vo sin(wt) and zero internal resistance. Find: A) the phasors V(2), 7(2) for steady solutions for complex voltage and current along the line; B) voltage V(z,t) and current 1(z. t) along the line; C) The impedance Z of the line as a function of w and I.
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.
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.
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)...
Question 3. (25 points) If a coaxial cable has characteristic impedance orzo-50 Ω, it is used to transfer microwave power at frequency of 10 GHz, and is short-circuited at the end, find the positions over the cable at which the input impedance of the transmission line is 0 (short-circuit) and oo (open-circuit). What is the input impedance at a distance of 3/8 and comment if it is inductive or capacitive?
6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input impedance of Z,-(75+j90)Ω. Assume that both the stub and the transmission line shown below have a characteristic impedance of Zo-50 Ω. Zot I ZoL.l ZL lm in Open or -) : short circuit , open or short circuit 6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input...
input impedance to a line is Z,-(30-j40 Ω and the load impedance is ZL-(20 +j40 Ω. If the 00 Ω and velocity of propagation 250 mjus and is operated at 30 MHz characteristic resistance Ro-1 u is the minimum length of the line? input impedance to a line is Z,-(30-j40 Ω and the load impedance is ZL-(20 +j40 Ω. If the 00 Ω and velocity of propagation 250 mjus and is operated at 30 MHz characteristic resistance Ro-1 u is...
ossless transmission line is terminated with a short circuit at the far end as shown in the figure below. Calculate the input impedance Zin a) at dc; 2) A l b) when the line is # long; when the line is 4 long; c) d) when the line is long. Based on the previous results, plot the imaginary part of the input impedance as a function of e) the electrical length of the line. -0 Zo Zin ossless transmission line...
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 + 25x). Sketch v(x,t) +v,(x,t) as a function of x if a) Vm2-10 and t-0,10ms,20ms b) Vm2-5 and t-0,10ms,20ms Use the trig identity cos A+cos B=2cos|-(A+B)|cos|式4-B) | to establish the total voltage on the c) transmission line. What insight is gained from this result? 4. The input impedance of a transmission of length I, with characteristic impedance Zo, connected to a load Z, is given below 2π where...