Homework Answers
ANSWER:
(a) When Zl is infinity, it acts as a high resistance path and hence, no current will flow. So, Zin is equal to Zo + 2Zo, that is 3Zo.
(b) When Zl is 0, it acts a short circuit path and hence, all of the current will flow through it. So, Zin is (Zo || 2Zo ) + Zo, that is (2Zo/3) + Zo, which equals 5Zo/3. (ANSWER)
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Problem M.1 Power/Machinery Problem MIO Area: Waves, Devices, & Optics Code # For the lossless transmission...
For a lossless transmission line extending from 1 = -1 to 1 = 0) with characteristic...
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+.
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect...
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect a sinusoidal source with internal resistance Rs=50 2, and 10 Volts peak value to feed a load of ZL=300 Q. At an operating signal wavelength of do, the length of the transmission line is L=2.25o. Determine the followings: a) Standing wave ratio on the line b) Average power delivered to the load in dBm. c) The voltage and current phasor expressions on the transmission...
3, A lossless transmission line of length 1 = 1.57λ and characteristic 17 +j60Ω. impedance Z,...
3, A lossless transmission line of length 1 = 1.57λ and characteristic 17 +j60Ω. impedance Z, = 50Ω is loaded with an impedance of ZL Compute the following: (a) Reflection coefficient at the load in both rectangular and polar form. (b) SWR, and RL (c) Input impedance at the generator. (d) Reflection coefficient at the input to the transmission line in both rectangular and polar form
32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission l...
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...
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths)...
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths) should the line be in order for it to appear as an open circuit at its input terminals? Problem 2.27 A 75-Ω resistive load is preceded by a λ/4 section of a 50-Q lossless line, which itself is preceded by another λ/4 section ofa 100-Q line. What is the input impedance? Problem 2.31 A generator with 300 V and Znected to a load ZL...
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?
Please help! A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is...
Please help!
A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is terminated where ZL = 75 + 75 12. (a) Find the standing wave ratio S on the line. (b) Find the load reflection coefficient, r(O), and the reflection coefficient seen at input, 7(1). (c) Find the input impedance of the line, Zin, for four different line lengths: 11 = 1/8, 12 = 9/4, 13 = 34/8, and 14 = 1/2, respectively. V(z), 7(z) ZO.B
A lossless transmission line with characteristic impedance of 75Ω measures 1.4λ at a certain working frequency....
A lossless transmission line with characteristic impedance of 75Ω measures 1.4λ at a certain working frequency. The line is powered by a generator with negligible impedance and an open circuit voltage of Vg=10∠0° [V]. A load of 50-i50Ω is connected at the end of the line. Find a) The reflection coefficient. b)The stationary wave ratio. c)The input impedance of the line. d)The voltage at the entrance of the line. e)The voltage at the load. f)The average power delivered to the...
A source of vdr) 10./2cos(2π10,)V with internal impedance Z,-10+ j10Ω is connected via a 300m long lossless two-wir...
A source of vdr) 10./2cos(2π10,)V with internal impedance Z,-10+ j10Ω is connected via a 300m long lossless two-wire transmission line to a load of Z-100+j2002. The line parameters are D-10mm , d Imm , μ,-I,e,-4. a) Calculate the velocity and direction of propagation of the incident and reflected waves. b) Find the characteristic impedance and the input impedance of the line. c) Calculate the amplitude of the incident wave for voltage and current. d) Write the complete expressions for v(z,t)...
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)...
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+.
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect a sinusoidal source with internal resistance Rs=50 2, and 10 Volts peak value to feed a load of ZL=300 Q. At an operating signal wavelength of do, the length of the transmission line is L=2.25o. Determine the followings: a) Standing wave ratio on the line b) Average power delivered to the load in dBm. c) The voltage and current phasor expressions on the transmission...
3, A lossless transmission line of length 1 = 1.57λ and characteristic 17 +j60Ω. impedance Z, = 50Ω is loaded with an impedance of ZL Compute the following: (a) Reflection coefficient at the load in both rectangular and polar form. (b) SWR, and RL (c) Input impedance at the generator. (d) Reflection coefficient at the input to the transmission line in both rectangular and polar form
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...
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths) should the line be in order for it to appear as an open circuit at its input terminals? Problem 2.27 A 75-Ω resistive load is preceded by a λ/4 section of a 50-Q lossless line, which itself is preceded by another λ/4 section ofa 100-Q line. What is the input impedance? Problem 2.31 A generator with 300 V and Znected to a load ZL...
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?
Please help!
A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is terminated where ZL = 75 + 75 12. (a) Find the standing wave ratio S on the line. (b) Find the load reflection coefficient, r(O), and the reflection coefficient seen at input, 7(1). (c) Find the input impedance of the line, Zin, for four different line lengths: 11 = 1/8, 12 = 9/4, 13 = 34/8, and 14 = 1/2, respectively. V(z), 7(z) ZO.B
A source of vdr) 10./2cos(2π10,)V with internal impedance Z,-10+ j10Ω is connected via a 300m long lossless two-wire transmission line to a load of Z-100+j2002. The line parameters are D-10mm , d Imm , μ,-I,e,-4. a) Calculate the velocity and direction of propagation of the incident and reflected waves. b) Find the characteristic impedance and the input impedance of the line. c) Calculate the amplitude of the incident wave for voltage and current. d) Write the complete expressions for v(z,t)...
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)...
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