Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 20P
Repeat Problem 19 if each phase impedance is changed to a 12
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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 24 Solutions
Introductory Circuit Analysis (13th Edition)
Ch. 24 - A balanced V load having a 10 resistance in each...Ch. 24 - Repeat Problem 1 if each phase impedance is...Ch. 24 - Repeat Problem 1 if each phase impedance is...Ch. 24 - The phase sequence for the Y-Y system in Fig....Ch. 24 - Repeat Problem 4 if each phase impedance are...Ch. 24 - Repeat Problem 4 if each phase impedance is...Ch. 24 - For the system in Fig. 24.43, find the magnitude...Ch. 24 - Computer the magnitude of the voltage EAB for the...Ch. 24 - For the Y-Y system in Fig. 24.45: a. Find the...Ch. 24 - For the Y-Y system of Fig. 24.46 the impedance of...
Ch. 24 - A balanced load having a 20 resistance in each...Ch. 24 - Repeat Problem 11 if each phase impedance is...Ch. 24 - Repeat Problem 11 if each phase impedance is...Ch. 24 - The phase sequence for the Y- system in Fig....Ch. 24 - Repeat Problem 14 if each phase impedance is...Ch. 24 - Repeat Problem 14 if each phase impedance are...Ch. 24 - Prob. 17PCh. 24 - For the connected load in Fig. 24.49: a. Find the...Ch. 24 - A balanced V load having a 30 resistance in each...Ch. 24 - Repeat Problem 19 if each phase impedance is...Ch. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Repeat Problem 22 if each phase impedance is...Ch. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - The phase sequence for the - system in Fig....Ch. 24 - Repeat Problem 28 if each phase impedance is...Ch. 24 - Repeat Problem 28 if each phase impedance is...Ch. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Find the total watts, volt-amperes reactive,...Ch. 24 - Prob. 35PCh. 24 - Find the total watts, volt-amperes reactive,...Ch. 24 - Find the total watts, volt-amperes reactive,...Ch. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Find the total watts, volt-amperes reactive,...Ch. 24 - A balanced, three-phase, -connected load has a...Ch. 24 - A balanced, three-phase, Y-connected load has a...Ch. 24 - Find the total watts, volt-amperes reactive,...Ch. 24 - The Y-Y system in Fig. 24.53 has a balanced load...Ch. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Repeat Problem 46 for the network in Fig. 24.47.Ch. 24 - For the three-wire system in Fig. 24.55, properly...Ch. 24 - Sketch three different ways that two wattmeters...Ch. 24 - For the Y- system in Fig. 24.56: Determine the...Ch. 24 - For the system in Fig. 24.57: Calculate the...Ch. 24 - For the three-phase, three-wire system in Fig....
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- Need a solufor number 2arrow_forwardDecompose using relationships 3 S(+) = 50 sin ³ (500πiz)arrow_forwardA linear electrical load draws I₁ A at a 0.72 lagging power factor. 11 = 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 = I2 − I₁, graphically as well as using complex number manipulation. Compare the results. c. Express the waveforms of the source current before (i₁(t)) and after (i2(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, ic (t) = 1cm sin(2´ft + 0c). Compare the result with the result in Part b.arrow_forward
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