Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 2.12, Problem 27CQ
What is transient analysis used for?
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A linear electrical load draws 11 A at a 0.72 lagging power factor./1 153. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 11 and 12
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, IC = 12 - 11, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (11(t)) and after (12(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i2(t) – i1(t) using the theories of trigonometry to obtain the capacitor current
in the form, ¡C(t) = ICm sin(2πft + OC). Compare the result with the result in Part b.
Transmission line data:Data:• Active power of the load (P): 50 kW• Power factor of the load (PF): 0.8 (lagging)• Line-to-line voltage at the load (V_LC): 13.8 kV• Line resistance (R): 2 Ω• Line inductance (L): 0.8 H• Line capacitance (C): 0.0003 F• Required series compensation: 60% of the line impedance.• Line length: 250 kmDetermine:1. Characteristic impedance and propagation constant.2. The generalized long line constants A, B, C, D.3. Total voltage, current and power at the generating end.4. Voltage regulation.5. Parameters A, B, C, D of the compensation circuit.6. New generalized constants of the power system afterseries compensation.7. Conclusion of the results obtained.
3.18
In a single-phase half-wave ac-dc converter, the average value of the load
current is 1.78 A. If the converter is operated from a 240 V, 50 Hz supply
and if the average value of the output voltage is 27% of the maximum
possible value, calculate the following, assume the load to be resistive.
(a) Load resistance
(b) Firing angle
(c) Average output voltage
(d) The rms load voltage
(e) The rms load current
(f) DC power
(g) AC power
(h) Rectifier efficiency
(i) Form factor
(j) Ripple factor
Chapter 2 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 2.2 - What is a transmission line? When should...Ch. 2.2 - Prob. 2CQCh. 2.2 - What constitutes a TEM transmission line?Ch. 2.2 - Prob. 4CQCh. 2.2 - Prob. 1ECh. 2.2 - Calculate the transmission line parameters at 1...Ch. 2.4 - Verify that Eq. (2.26a) indeed provides a solution...Ch. 2.4 - A two-wire air line has the following line...Ch. 2.6 - The attenuation constant represents ohmic losses....Ch. 2.6 - How is the wavelength of the wave traveling on...
Ch. 2.6 - Prob. 7CQCh. 2.6 - What is a standing-wave pattern? Why is its period...Ch. 2.6 - Prob. 9CQCh. 2.6 - For a lossless transmission line, = 20.7 cm at 1...Ch. 2.6 - A lossless transmission line uses a dielectric...Ch. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 10ECh. 2.6 - A 140 lossless line is terminated in a load...Ch. 2.8 - What is the difference between the characteristic...Ch. 2.8 - What is a quarter-wave transformer? How can it be...Ch. 2.8 - Prob. 12CQCh. 2.8 - Prob. 13CQCh. 2.8 - if the input impedance of a lossless line is...Ch. 2.8 - Prob. 12ECh. 2.8 - A 300 feedline is to be connected to a 3 m long,...Ch. 2.9 - According to Eq. (2.102b), the instantaneous value...Ch. 2.9 - Prob. 16CQCh. 2.9 - What fraction of the incident power is delivered...Ch. 2.9 - Prob. 18CQCh. 2.9 - For a 50 lossless transmission line terminated in...Ch. 2.9 - For the line of Exercise 2-14, what is the...Ch. 2.10 - The outer perimeter of the Smith chart represents...Ch. 2.10 - What is an SWR circle? What quantities are...Ch. 2.10 - What line length corresponds to one complete...Ch. 2.10 - Which points on the SWR circle correspond to...Ch. 2.10 - Prob. 23CQCh. 2.10 - Use the Smith chart to find the values of ...Ch. 2.11 - Prob. 24CQCh. 2.11 - Prob. 25CQCh. 2.12 - What is transient analysis used for?Ch. 2.12 - Prob. 28CQCh. 2.12 - What is the difference between the bounce diagram...Ch. 2 - A transmission line of length l connects a load to...Ch. 2 - Show that the transmission-line model shown in...Ch. 2 - A 1 GHz parallel-plate transmission line consists...Ch. 2 - For the parallel-plate transmission line of...Ch. 2 - In addition to not dissipating power, a lossless...Ch. 2 - For a distortionless line [see Problem 2.13] with...Ch. 2 - Prob. 15PCh. 2 - A transmission line operating at 125 MHz has Z0 =...Ch. 2 - Prob. 17PCh. 2 - Polyethylene with r=2.25 is used as the insulating...Ch. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - A 50 lossless line terminated in a purely...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Two half-wave dipole antennas, each with an...Ch. 2 - Prob. 34PCh. 2 - For the lossless transmission line circuit shown...Ch. 2 - A lossless transmission line is terminated in a...Ch. 2 - The input impedance of a 31 cm long lossless...Ch. 2 - FM broadcast station uses a 300 transmission line...Ch. 2 - A generator with Vg=300 V and Zg = 50 is...Ch. 2 - If the two-antenna configuration shown in Fig....Ch. 2 - For the circuit shown in Fig. P2.44, calculate the...Ch. 2 - The circuit shown in Fig. P2.45 consists of a 100 ...Ch. 2 - An antenna with a load impedance ZL=(75+j25) is...Ch. 2 - Prob. 47PCh. 2 - Use the Smith chart to determine the input...Ch. 2 - Prob. 52PCh. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - Use the Smith chart to find yL if zL = 1.5 j0.7.Ch. 2 - Prob. 59PCh. 2 - Prob. 62PCh. 2 - Determine Zin of the feed line shown in Fig....Ch. 2 - Prob. 73PCh. 2 - A 25 antenna is connected to a 75 lossless...Ch. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - In response to a step voltage, the voltage...Ch. 2 - Suppose the voltage waveform shown in Fig. P2.77...Ch. 2 - For the circuit of Problem 2.80, generate a bounce...Ch. 2 - In response to a step voltage, the voltage...
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- Disassemmble In another way f(t) = [sin(200πt) - cos(300πt)]2arrow_forward☑ 口 ☐ : Homework help starts here! Home | bartleby → https://www.bartleby.com Answered: Decompose using relationships 3 S(+) = 50 sin 3 (500πiz) | bartleby ASK AN EXPERT √ MATH SOLVER Decompose using relationships 3 S(+) = 50 sin 3 (500... Steps "Disassemble in another way." f(+)= 50 Sin³ (500+) Step 1 To decompose f(t)=50 Sin³ (500x+), use trigonometric indentity for Sin³ (e) Sin³ (0)- 3 Sin (e)-Sin (30) 4 Step2: Apply indentity to f(t). f(+)= 50 Sin³ (500+) = 50. 3 Sin (500+) - Sin (3*500π+) = 50. = = 12.5 4 3 Sin (500+)-Sin (1500+) 4 [3 Sin (580x+)-Sin (1500x+)] 37.5 Sin (500+)-12.5 Sin (1500π+) final decomposed form is, PM 05:2 19/12/2024 દ ))^ C W E × م اكتب هنا للبحثarrow_forward6) The principal of DIT hire you to design PBAX with 120 phones. Assuming the number of call is 3/hour/line, the average call duration is 4 minutes, and 55% of all call are made external via a T-1 trunk (24 channels) to the PSTN. Determine carried traffic and channel usage.arrow_forward
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- I need a solution from an expert without artificial intelligence. Choose the correct answer 1. The convolution of two signals in time domain is equivalent to (addition, subtraction, multiplication, division). 2. The Fourier transform of non-periodic signal is random). 3. In ASK). in frequency domain signal. (discrete, continuous, digital, the pulse location is proportional to the amplitude of the signal. (PAM, PWM, PPM 4. In TDM the input signals must have (the same maximum frequency, the same sampling frequency, the same bit rate, the same amplitude). 5. The Delta Modulation is equivalent to (1-bit DPCM, 2-bit DPCM, n-bit PCM, PSK). bandwidth when compared to the NRZ 6. In baseband digital transmission, the RZ signal has signal. (less, greater, equal, not related). 7. In Differential Manchester code, the shapes of "1" and "0" are, each other, next bit dependent, not related to each other). (the same, opposite to 8. In multi-level digital carrier system R, is _ R₁. (equal to, less…arrow_forwardI need a solution from an expert without artificial intelligence. Choose the correct answer: 1. In AMI code, the shapes of "1" and "O" are, bit dependent, not related to each other). 2. In FDM the guard band is used to decrease, maintain, not related to). 3. Higher number of levels in PCM produces (the same, opposite to each other, next the overlap between FDM signals. (increase, (higher quantization error, less number of bits per sample, lower quantization error, the same number of bits per sample). 4. If the maximum shift in frequency is 70 kHz and the minimum deviation in frequency of the actual signal is 109.93 MHz, what is the carrier frequency? (110 MHz, 110 kHz, 107 kHz, 102 MHz) Fc 5. TDM of signals requires them to have the same amplitude, sampling frequency, energy). 6. In standard AM, the last step in the transmitter is subtracting, multiplying, dividing). . In digital carrier systems, PSK). (maximum frequency, maximum the carrier signal. (adding, has higher bandwidth. (ASK,…arrow_forwardNeed Handwritten solution step by steparrow_forward
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