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A transmission line of length 1 connects a load to a sinusoidal voltage source with an...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
A 50-Ω air transmission line terminated with an unknown load ZL is excited by a 6...
A 50-Ω air transmission line terminated with an unknown load ZL is excited by a 6 GHz sinusoidal signal source. The standing wave ratio on the line is measured to be 4 and the position of one of the voltage minimums on the line with respect to the load position is 9 cm. Determine the value of the load impedance ZL and box your answer.
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
Show all work Problem 1 (30%). For a voltage along the line is as in the...
Show all work
Problem 1 (30%). For a voltage along the line is as in the following plot. The line is terminated to an unknown load i Zi at z- 0 cm. Calculate the following quantities. transmission line with a characteristic impedance of 50 Ω the magnitude of the mpedance (a) Wavelength and wavenumber. (b) Standing-wave ratio. (c) Magnitude and phase of the reflection coefficient. (d) Load impedance. (e) The equivalent circuit element for the load impedance, assuming that the...
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....
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 DC voltage Vs is applied to a lossless transmission line of length L, with characteristic...
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...
3. A system of two transmission lines connected in series are driven by a voltage source fi(t) Vo...
3. A system of two transmission lines connected in series are driven by a voltage source fi(t) Vou(t) and terminated by a resistive load of 60S2 as shown in the figure below. A switch is closed at t 0 and the positive voltages are measured for 5 μs giving the bounce diagram shown in the figure-the voltage values indicated in the diagram correspond to delta function weights times the source voltage products such as VOTg, VOTg(1 +「2), etc. 400 m...
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitu...
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitude is A = 6 and the load produces a reflection coefficient of I0.5. The wavenumber 1 rad/m, and the operating frequency is f = 107 Hz. Do the following Let a (a) Compute the simplest math form for ü(r, t), the total phasor signal on the line, for the three time values given by: (i t 0,...
1) A lossless transmission line that is 3N2 long with an impedance of 75Ω terminated by a load of...
1) A lossless transmission line that is 3N2 long with an impedance of 75Ω terminated by a load of 25 Ω The generator has a voltage of V,r-2sin(et) V and an internal impedance Ζ'50Ω (a) For this circuit give Vg, T, and the voltage standing wave ratio. (b) Give Vin. Inand Vo (c) Give and I (d) Give the voltage and current at the midpoint of the line (ie. P(z) and I(2) at z-3/4). (e) From the answer of (d)...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) =...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
Show all work
Problem 1 (30%). For a voltage along the line is as in the following plot. The line is terminated to an unknown load i Zi at z- 0 cm. Calculate the following quantities. transmission line with a characteristic impedance of 50 Ω the magnitude of the mpedance (a) Wavelength and wavenumber. (b) Standing-wave ratio. (c) Magnitude and phase of the reflection coefficient. (d) Load impedance. (e) The equivalent circuit element for the load impedance, assuming that the...
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)...
3. A system of two transmission lines connected in series are driven by a voltage source fi(t) Vou(t) and terminated by a resistive load of 60S2 as shown in the figure below. A switch is closed at t 0 and the positive voltages are measured for 5 μs giving the bounce diagram shown in the figure-the voltage values indicated in the diagram correspond to delta function weights times the source voltage products such as VOTg, VOTg(1 +「2), etc. 400 m...
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitude is A = 6 and the load produces a reflection coefficient of I0.5. The wavenumber 1 rad/m, and the operating frequency is f = 107 Hz. Do the following Let a (a) Compute the simplest math form for ü(r, t), the total phasor signal on the line, for the three time values given by: (i t 0,...
1) A lossless transmission line that is 3N2 long with an impedance of 75Ω terminated by a load of 25 Ω The generator has a voltage of V,r-2sin(et) V and an internal impedance Ζ'50Ω (a) For this circuit give Vg, T, and the voltage standing wave ratio. (b) Give Vin. Inand Vo (c) Give and I (d) Give the voltage and current at the midpoint of the line (ie. P(z) and I(2) at z-3/4). (e) From the answer of (d)...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
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