Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Chapter 3, Problem 3.54HP
Find the Norton equivalent of the network between nodes a andb in Figure P3.54.
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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 3 Solutions
Principles and Applications of Electrical Engineering
Ch. 3 - Use node voltage analysis to find the voltages V1...Ch. 3 - Use node voltage analysis to find the voltages V1...Ch. 3 - Using node voltage analysis in the circuit of...Ch. 3 - Using node voltage analysis in the circuit of...Ch. 3 - In the circuit shown in Figure P3.5, the mesh...Ch. 3 - In the circuit shown in Figure P3.5, the source...Ch. 3 - Use nodal analysis in the circuit of Figure P3.7...Ch. 3 - Use mesh analysis in the circuit of Figure P3.7 to...Ch. 3 - Use nodal analysis in the circuit of Figure P3.9...Ch. 3 - Use nodal analysis in the circuit of Figure P3.10...
Ch. 3 - Use nodal analysis in the circuit of Figure P3.11...Ch. 3 - Find the power delivered to the load resistor R0...Ch. 3 - For the circuit of Figure P3.13, write the nodee...Ch. 3 - Using mesh analysis, find the currents i1 and i2...Ch. 3 - Using mesh analysis, find the currents i1 and i2...Ch. 3 - Using mesh analysis, find the voltage v across the...Ch. 3 - Using mesh analysis, find the currents I1,I2 and...Ch. 3 - Using mesh analysis. Find the voltage V across the...Ch. 3 - Prob. 3.19HPCh. 3 - For the circuit of Figure P3.20, use mesh analysis...Ch. 3 - In the circuit in Figure P3.21, assume the source...Ch. 3 - For the circuit of Figure P3.22 determine: a. The...Ch. 3 - Figure P3.23 represents a temperature measurement...Ch. 3 - Use nodal analysis on the circuit in Figure P3.24...Ch. 3 - Use mesh analysis to find the mesh currents in...Ch. 3 - Use mesh analysis to find the mesh currents in...Ch. 3 - Use mesh analysis to find the currents in Figure...Ch. 3 - Use mesh analysis to find V4 in Figure P3.28. Let...Ch. 3 - Use mesh analysis to find mesh currents in Figure...Ch. 3 - Use mesh analysis to find the current i in Figure...Ch. 3 - Use mesh analysis to find the voltage gain...Ch. 3 - Use nodal analysis to find node voltages V1,V2,...Ch. 3 - Use mesh analysis to find the currents through...Ch. 3 - Prob. 3.34HPCh. 3 - Prob. 3.35HPCh. 3 - Using the data of Problem 3.35 and Figure P3.35,...Ch. 3 - Prob. 3.37HPCh. 3 - Prob. 3.38HPCh. 3 - Use nodal analysis in the circuit of Figure P3.39...Ch. 3 - Prob. 3.40HPCh. 3 - Refer to Figure P3.10 and use the principle of...Ch. 3 - Use the principle of superposition to determine...Ch. 3 - Refer to Figure P3.43 and use the principle of...Ch. 3 - Refer to Figure P3.44 and use the principle of...Ch. 3 - Refer to Figure P3.44 and use the principle of...Ch. 3 - Prob. 3.46HPCh. 3 - Use the principle of super position to determine...Ch. 3 - Prob. 3.48HPCh. 3 - Use the principle of super position to determine...Ch. 3 - Use the principle of superposition to determine...Ch. 3 - Find the Thé venin equivalent of the network...Ch. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Find the Norton equivalent of the network between...Ch. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Prob. 3.56HPCh. 3 - Find the Thé venin equivalent of the network seen...Ch. 3 - Find the Thé venin equivalent network seen by...Ch. 3 - Prob. 3.59HPCh. 3 - Prob. 3.60HPCh. 3 - Prob. 3.61HPCh. 3 - Find the Thé venin equivalent resistance seen...Ch. 3 - Find the Thé venin equivalent resistance seen by...Ch. 3 - Find the Thé venin equivalent network seen from...Ch. 3 - Find the Thé’cnin equivalent resistance seen by R3...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Find the Norton equivalent of the network seen by...Ch. 3 - Prob. 3.68HPCh. 3 - Find the Norton equivalent network between...Ch. 3 - Prob. 3.70HPCh. 3 - Prob. 3.71HPCh. 3 - Prob. 3.72HPCh. 3 - The Thé venin equivalent network seen by a load Ro...Ch. 3 - The Thévenin equivalent network seen by a load Ro...Ch. 3 - Prob. 3.75HPCh. 3 - Prob. 3.76HPCh. 3 - Many practical circuit elements are non-linear;...Ch. 3 - Prob. 3.78HPCh. 3 - The non-linear diode in Figure P3.79 has the i-v...Ch. 3 - Prob. 3.80HPCh. 3 - The non-linear device D in Figure P3.81 has the...Ch. 3 - Prob. 3.82HPCh. 3 - The so-called forward-bias i-v relationship for a...
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