Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 10, Problem 10.6P
Suppose you want to match a
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A 500 kV, 60 Hz, 360 km long transmission line has following parameters: X = j0.375 Ω/km; Y = j5.65x10-6 S/km. i. Calculate the characteristic impedance and the propagation constant of the line. ii. Determine A, B, C, D parameters of the line.
A 100km, 60Hz transmission line has a resistance of 2.07Ω/km, an inductance of 3.108mH/km, and a capacitance of 1.4774mF/f. This line supplies a 100MW three-phase star load with a 0.9 power factor lagging at 215kV. Using the π-circuit, we ask:
a-) Calculate the voltage at the emitter terminal;b-) Calculate the losses in the transmission line;c-) Determine whether the line is absorbing or supplying reactive power.
PLEASE, TYPE, HAND WRITING GETS UNDERSTANDING.
A 50 km communication line has the following parameters:
series resistance (R) = 21.4 W/km
series inductance (L) = 1.0 mH/km
shunt capacitance (C) = 0.062 mF/km
shunt conductance (G) = 0.868 mS/km
The frequency is 796 Hz and the line is terminated to
avoid reflection. If the power at the receiving end is to be –20 dB (6mW reference) and the sending end voltage is 362 V, determine the power at the sending end.
Chapter 10 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 10 - A matching network consists of a length of a...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Design an L-section matching network to match an...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Suppose you want to match a 100 line to a load...Ch. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10PCh. 10 - Suppose the L-section matching network of Example...
Ch. 10 - Find the scattering matrices for the simple...Ch. 10 - Cut a 50- T-line and insert a series 50- resistor...Ch. 10 - Prob. 10.14PCh. 10 - A series capacitor of value C=2.0pF is inserted in...Ch. 10 - A series inductor of value L=3.5nH is inserted in...Ch. 10 - Prob. 10.17PCh. 10 - The scattering matrix (assuming a 50- impedance...Ch. 10 - Three T-lines with the same characteristic...Ch. 10 - Consider a three-port network that is matched at...Ch. 10 - Prob. 10.21PCh. 10 - Calculate the insertion loss and the VSWR for the...Ch. 10 - Prob. 10.23PCh. 10 - Verify the scattering matrix (10.27) for the...Ch. 10 - Prob. 10.25PCh. 10 - Prob. 10.26PCh. 10 - A four-port 20-dB coupler is specified as having...Ch. 10 - Suppose the coupling for an ideal symmetrical...Ch. 10 - Suppose to port 1 of an ideal ring hybrid coupler...Ch. 10 - Prob. 10.30PCh. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Suppose you join a pair of quadrature hybrid...Ch. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - Prob. 10.38PCh. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Starting with the Figure 10.28b circuit...Ch. 10 - Starting with the Figure lO.28b circuit...Ch. 10 - Prob. 10.43PCh. 10 - Starting with the Figure 10.28a circuit...Ch. 10 - Prob. 10.45PCh. 10 - For Problem 10.45, (a) design open-ended shunt...Ch. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.49PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.51PCh. 10 - Referring to Example 10.21 and Figure 10.48,...
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- 1) A TV antenna lead-in wire 10cm long has a characteristic impedance of 250 Ω and is open-circuited at its end. If the line operates at 400 MHz, determine it's input impedance. 2) A telephone line has R = 30 Ω/km, L-100 mHkm, G-0, and C-20 μEkm. At f- 1 kHz, obtain: (a) The characteristic impedance of the line (b) The propagation constant (c) The phase velocityarrow_forwardA cellular radio transmitter has a power output of 3 W at 800 MHz. It uses an antenna with a gain of 3 dBi. The receiver is 5 km away, with antenna gain of 12 dBi. Ignoring feedline losses and mismatch, calculate (a) the EIRP in dBW (b) the free space path loss, (c) the power delivered to the receiver in W and dBmarrow_forwardExample: A telephone cable operating at frequency of 30 KHz, and it has the following parameters R = 52.5Ω/Km, G = 0, C = 0.062µF/Km and L = 1.1mH/Km. Calculate: 1) α, β, λ, vp 2) The length of the line which gives attenuation of 25 dB.arrow_forward
- Hi, Would it be possible to use mesh analysis in this case?arrow_forwardA (medium) single phase transmission line 100 km long has the following constants : Resistance/km = 0-25 N; Reactance/km = 0-8 2 Susceptance/km = 14 x 10-6 siemens ; Receiving end line voltage = 66,000 V Assuming that the total capacitance of the line is localised at the receiving end alone, determine the sending end current Select one: a. 240 A b. None of The above c. 320 A d. 50 Aarrow_forwardThe numerical input/output mean optical power ratio in a 1 km, length of optical fiber is found to be 2.5. Calculate the received mean optical power when a mean optical power of 1 mW is launched into a 5 km length of the fiber (assurning no joints or connectors).arrow_forward
- An optical fiber link with a distance of 30km long has a loss of 0.3dB/km. a) Calculate the minimum optical power level that must be launched into the fiber to maintain an optical power level of 3.0W at the receiving end.b) Estimate the required input power if the fiber has a loss of 0.6dB/km.c) Differentiate, with the aid of diagrams, the types of these dispersions and its effect on the transmission distance. (i) Modal Dispersion(ii) Chromatic Dispersion(iii) Polarization Mode Dispersionarrow_forwardTransmission line with a load Zl = 100 + i80 ohm with characteristic impedance of Z0 = 5 ohm is designed. The transmission line operates at 100 MHz, where is matched with a shunt single- stub tuner. a)Calculate the stub positions. b)Calculate the stub length where open circuit stub is used. c) Calculate the stub length where short circuit stub is used.arrow_forwardThe shunt admittance and series impedance of a long transmission line are given with respect to length as follows: y =j3.5x10-6S/km z = (0.1 + j0.5)ohms/km The length of the transmission line is 400km. It wheels 150MW at 220kV and 0.85 pf lagging. Calculate the following: a) the A and B constants of the transmission line. b)the Cand D constants of the transmission line. c) the sending end voltage. d)the sending end current.arrow_forward
- A (medium) single phase transmission line 100 km long has the following constants : Resistance/km = 0·25 Ω ; Reactance/km = 0·8 Ω Susceptance/km = 14 × 10−6 siemens ; Receiving end line voltage = 66,000 V The line is delivering 15 000 kW at 0 8 power factor lagging. Assuming that the total capacitance of the line is localised at the receiving end alone, determine the sending end current Select one: a. 50 A b. 320 A c. 240 A d. None of The abovearrow_forwardQ4 - Calculate the dissipation in power across 20Ω resistor for the FM signal, V(t)= 20 cos(6600 t+ 10 sin 2100 t), if a transmitter radiates a signal of 9.8KW after modulation and 8KW without modulation , Calculate the depth of modulation?arrow_forward20. Calculate A,B,C,D constants of a 3phase, 50Hz transmission line 160km long having the following distributed parameters R=0.15Ω/km; L= 1.20 x10-3 H/km; C=8x10-9 F/km; G=0arrow_forward
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How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License