The single-phase, two-wire lossless line in Figure 1 has a series inductance L= (1/3) x 10-6 H/m, a shunt capacitance C = (1/3) x 10-10 F/m, and a 30-kn line length. The source voltage at the sending end is a step eG(f) = 100u-1(t) KV with ZG(s) = 100 Q. The receiving-end load consists of a 100-Q resistor in parallel with a 2-mH inductor. The line and load are initially unenergized. Determine (a) the characteristic impedance in ohrms, the wave velocity in m/s, and the transit time in ms for this line; (b) the sending-and receiving-end voltage reflection coefficients in per-unit, (c) the Laplace transform of the receiving-end current, IR(s); and (d) the receiving-end current R(1) as a function of time. FIGURE 1 Single-phase two-wire lossless line with source and load terminations Zols) -{x, s) Ec{s} Ze, v V(x, s) Za(s) X = 0 X =?
The single-phase, two-wire lossless line in Figure 1 has a series inductance L= (1/3) x 10-6 H/m, a shunt capacitance C = (1/3) x 10-10 F/m, and a 30-kn line length. The source voltage at the sending end is a step eG(f) = 100u-1(t) KV with ZG(s) = 100 Q. The receiving-end load consists of a 100-Q resistor in parallel with a 2-mH inductor. The line and load are initially unenergized. Determine (a) the characteristic impedance in ohrms, the wave velocity in m/s, and the transit time in ms for this line; (b) the sending-and receiving-end voltage reflection coefficients in per-unit, (c) the Laplace transform of the receiving-end current, IR(s); and (d) the receiving-end current R(1) as a function of time. FIGURE 1 Single-phase two-wire lossless line with source and load terminations Zols) -{x, s) Ec{s} Ze, v V(x, s) Za(s) X = 0 X =?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Transcribed Image Text:The single-phase, two-wire lossless line in Figure 1 has a series inductance L = (1/3) x 10-6
H/m, a shunt capacitance C = (1/3) x 10-10 F/m, and a 30-km line length. The source voltage
at the sending end is a step eG(f) = 100u-1(f) KV with ZG(S) = 100 Q. The receiving-end load
%3D
consists of a 100-Q resistor in parallel with a 2-mH inductor. The line and load are initially
unenergized. Determine (a) the characteristic impedance in ohms, the wave velocity in m/s, and
the transit time in ms for this line; (b) the sending-and receiving-end voltage reflection
coefficients in per-unit; (c) the Laplace transform of the receiving-end current, IR(s); and (d) the
receiving-end current R(f) as a function of tirme.
FIGURE 1
Single-phase two-wire lossless line with source and load terminations
Zels)
-l(x, s)
Ecls)
Za v
V(x, s)
Zals)
X = 0
X = ?
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