A distortionless transmission line with a characteristic impedance of ?0 = 75Ω has an attenuation constant of ? = 10−3 Np/m. The line has a capacitance per unit length of C′ = 60 pF/m.
(a) Find the per unit length resistance R′, inductance L′, and conductance G′ of the transmission line.
(b) Find the phase velocity ?? for this line.
A distortionless transmission line with a characteristic impedance of ?0 = 75Ω has an attenuation constant...
Please show all work and CLEARLY A lossless transmission line operates at 500 x 106rad/s with per-unit-length inductance I = 0.5uH/m and capacitance C' = 32pF/m. (a) Find the characteristic impedance Zo of the line. (b) If the line is lossy, with per-unit-length conductance G' = 100/S/m and resistance 2512/m, find the characteristic impedance Zo of the line.
Electromagnetism: A transmission line has a characteristic impedance Z0 = 50 Ω and attenuation 3 dB/100m (α = 0.345 Np/100m). Assume that the velocity factor is 1.0 (i.e. the propagation speed along the line is equal to the speed of light). The line is 500 m long and a load resistance, RL = 50 Ω is connected to one end of the line. A sinusoidal voltage source is connected to the line at the other end, with a peak voltage...
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.
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]
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.
d) A transmission line designed for power transmission at 60 Hz is made with superconducting cables. The two conductors that make the transmission line are separated by 3 m. The size of the wires is not known, but their inductance per unit length is 0.5 μΗ/m. The permittivity and permeability are those of free space and the conductivity of air is 10-7 S/m. Calculate: The attenuation constant of the line. ii) The characteristic impendence of the line. d) A transmission...
Given a distortionless cable for 250 MHz. The outer radius is 20 mm. Assume copper conductors are thick (σc = 5.7×107 S/m). The medium has σ = 10-5 S/m, μ = μ0, ε = ε0. (a) Please design the radius of the inner conductor, so this transmission the line can be distortionless; (b) Calculate the characteristic impedance of this line and its attenuation constant; (c) Calculate the distance of at most 10 dB attenuation.
(a) State what is meant by a ‘distortionless’ and a ‘lossless’ transmission line. (b) A transmission line has the primary coefficients as given in TABLE A. Determine the line’s secondary coefficients Zo, @ and β at a frequency of 1 GHz. 2 Ω/m L \ 8 nH/m G \ 0.5 mS/m C \ 0.23 pF/m TABLE A RLOC
3.19 A copper stripline transmission line is to be designed for a 100 S2 characteristic impedance. The ground plane separation is 1.02 mm and the dielectric constant is 2.20, with tan 8 = 0.001. At 5 GHz, find the guide wavelength on the line and the total attenuation.
a) A parallel plate transmission line has a plate width 3 mm, plate separation 0.3 mm and is filled with a dielectric of relative permittivity 2.2. The dielectric breakdown field is 180kV/cm. Find the maximum peak power that can be transmitted down it and the corresponding peak values of the transmission line voltages and currents when the transmission line is matched to a terminating load. (5 marks) b) A 1 GHz signal of voltage amplitude 0.1 Vis propagated without reflection...