Please show work. A 70-Ω high-frequency lossless line is used at a frequency where λ 80...
At a nominal operating frequency of 5 GHz, a 50 Ω lossless coaxial line with insulating material with relative permittivity Er-2.2 İs terminated in an antenna with a load impedance of RL-25 Ω in series with a C-pF capacitor. The line length is 30cm. (a) Use a Smith chart to find Zin (b) Now suppose that we need the antenna to operate over a narrow band of +3MHz about the nominal operating frequency of 5GHz. i. Plot ігі as a...
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz, vp = 0.77c). If the input impedance is Zin = j60 Ω (a) Find ZL (using the Smith Chart) (b) What length of a short-circuit transmission line would be needed to replace ZL?
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...
A lossless transmission line is used to deliver an AC signal from Liverpool to Wirral. The length of the transmission line is 6 km. The phase velocity is the same as in free space. The transmission line is terminated by a load at the Wirral side with an impedance of 100 Ω. j) If the characteristic impedance of the transmission line is 100 Ω and the AC b) signal has a frequency of 50 Hz, what is the input impedance...
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...
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)...
answer number 3 and 4 Problem 7. Transmission Lines The figure below shows a transmission line with a characteristic impedance Z,-50 Ω, connected to a single frequency generator with an internal impedance R,-50 C (not shown), and terminated in a purely resistive load RL 50 2. At the frequency of the generator, the wavelength of the transmission line is λ = 2 m. At a distance dl-1.25 m away from the load, a shorted stub is connected via a tee....
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?
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)...
elementR,-150 Ω is inserted in-between two lossless TEM A series lumped resisive in the figure below. The characteristic impedance of the first 2. ransm ol 100 Ω and the phase velocity is the speed of light (up transmission line (Tx-Line 1) SCctie impedance of the second transmission line (Tx-Line 2) section c = 3 x 108 m/s). The character ond transmission line is terminated to the right so that there is no ission line sections as shown C3 x 10...