Show that f(t – z/u) and f(t+z/u) are general
solutions of the transmission line equations assuming that there
are no losses ( R=0, G=0). Give the physical interpretation of
these solutions.
If the functions above are the solutions for the voltage across a
lossless transmission line, find the corresponding solutions for
the current across the same line. Assume the intrinsic impedance
being Z0.
I need help with second paragraph. Please write legibility and explain steps.
Show that f(t – z/u) and f(t+z/u) are general solutions of the transmission line equations assuming...
Show that f(t – z/u) and f(t+z/u) are general solutions of the transmission line equations assuming that there are no losses ( R=0, G=0). Give the physical interpretation of these solutions. Please show clear work and steps.
11.14 For a lossless two-wire transmission line, show that (a) The phase velocity u = c = VLC (b) The characteristic impedance Z = - Vecosh-1 d. Is part (a) true of other lossless lines?
PDE questions. Please show all
steps in detail.
2. Consider the initial-boundary value problem 0
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...
Q2. Draw the nominal π circuit that is used to represent the medium-length transmission line model with total series impedance Z and total shunt admittance Y. Then derive the equations to express the ABCD parameters (a) 20% (b)A 200 km, 230 kV, 50 Hz three-phase overhead transmission line has a positive-sequence series impedance z (0.08 + j0.48) Ω/km, and a positive-sequence shunt admittance y-j3.33 x 10T° S/km. At full load, the line delivers 250 MW at 0.99 power factor lagging...
5. (Telegraph equations) Using basic electrical theory, it can be shown that the current I(r, t) and voltage V(z, t) in an electrical transmission (eg., a power line or telephone line) at position in the lne andimt obey the equations Math 121 Applied DiffEqns II Homework 1 Due: Febuary 7, 2019 where C is the capacitance per u length, Gis the leakage per unit length, R is the resistance per unit length, and L is the inductance per unit length...
Problem 3-15.
Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone cable has the following electrical characteristics: R = 40 /mi L = 1.1 mH/mi G = negligible C = 0.062 F/mi Loading coils are added which provide an additional inductance of 30 m / well as an additional resistance of 8 l/mi. Obtain the attenuation constan phase velocities at frequencies of 300 Hz and 3300 Hz. If the coil spacing is 1/6 at a...
A. Consider a simplified model of a transmission line with resistance and capacitance neglected. a. Show that the sending end real and reactive power are given by the equations respectively. Vs is the voltage magnitude at the sending end, Vr is the voltagemagnitude at the receiving end, is phase angle between the sending and receiving end voltages, and is the series reactance. When we use this or the more general formulas we say the voltage magnitudes are close to normal...
Q1. A transmission line has Zo-Z,-150 Ω and ZL-50 Ω. The propagation velocity on the line is 200 m/us and the line is 800 m long. At time t-0, a single voltage pulse of 16 V and 1 us duration is transmitted by the generator. Using relevant equations and diagrams, discuss the voltage and current pulse behavior on the line.
Q1. A transmission line has Zo-Z,-150 Ω and ZL-50 Ω. The propagation velocity on the line is 200 m/us and...
Partial Differential Equations. Show using the energy arguments that the solutions to this boundary value problem are unique. i.e. u1=u2. u(r, 0) a(0,t) = f(t), a(L, t) = h(t) u(r, 0) a(0,t) = f(t), a(L, t) = h(t)