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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Textbook Question
Chapter 5, Problem 5.54HP
The analogy between electrical and thermal systems can be used to analyze the behavior of a pot heating on an electric stove. The heating element is modeled a shown in Figure P5.54. Find the “heat capacity’ of the burner,
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P5.43. Find the complex impedance of the network
shown in Figure P5.43 for w=500. Repeat
for w= 1000 and w= 2000.
Q3] Design a circuit to produce an average voltage of 27V across a
102 load resistor from a 70V rms 50-Hz ac source.
Verify your answer by the following:
a) Draw the circuit.
b) Draw to scale the waveforms for the input, output voltages and
the current.
a) We assume that the switch is on. Calculate the reactance values and find the charging current in the circuit below. Is the circuit capacitive or inductive? Show that the voltage across the capacitance can be slightly larger than the source voltage U. (This is called the Ferranti effect and means that we can get a voltage rise beyond overhead lines with small loads. This is mostly relevant at the highest voltage levels.
The frequency f is 50Hz, and assume voltage U= √2⋅24kV
Chapter 5 Solutions
Principles and Applications of Electrical Engineering
Ch. 5 - Write the differential equations fort t0 for iL...Ch. 5 - Write the differential equation fort t0 for vc in...Ch. 5 - Write the differential equation fort t0 for iC in...Ch. 5 - Write the differential equation for t0 for iL in...Ch. 5 - Write the differential equation for t0 for vc in...Ch. 5 - Write the differential equations for t0 for iC and...Ch. 5 - Prob. 5.7HPCh. 5 - Write the differential equation for t0 for iC in...Ch. 5 - Write the differential equation for t0 for iL in...Ch. 5 - Write the differential equations for: t0 for iL...
Ch. 5 - Determine the initial and final conditions on iL...Ch. 5 - Determine the initial and final conditions on vc...Ch. 5 - Determine the initial and final conditions on iC...Ch. 5 - Determine the initial and final conditions on iL...Ch. 5 - Determine the initial and final conditions on vc...Ch. 5 - Determine the initial and final conditions on iC...Ch. 5 - Determine the initial and final conditions on vC...Ch. 5 - Prob. 5.18HPCh. 5 - Prob. 5.19HPCh. 5 - Determine the initial and final conditions on iL...Ch. 5 - At t=0 , just before the switch is opened, the...Ch. 5 - Prob. 5.22HPCh. 5 - Determine the current ic through the capacitor...Ch. 5 - Prob. 5.24HPCh. 5 - Prob. 5.25HPCh. 5 - Assume that steady-state conditions exist in...Ch. 5 - Assume that steady-state conditions exist in the...Ch. 5 - Prob. 5.28HPCh. 5 - Assume that steady-state conditions exist in the...Ch. 5 - Find the Thévenin equivalent network seen by the...Ch. 5 - Prob. 5.31HPCh. 5 - Prob. 5.32HPCh. 5 - Prob. 5.33HPCh. 5 - For t0 , the circuit shown in Figure P5.34 is at...Ch. 5 - The circuit in Figure P5.35 is a simple model of...Ch. 5 - Prob. 5.36HPCh. 5 - Determine the current iC through the capacitor in...Ch. 5 - Determine the voltage vL across the inductor in...Ch. 5 - Prob. 5.39HPCh. 5 - For t0 , the circuit shown in Figure P5.39 is at...Ch. 5 - Prob. 5.41HPCh. 5 - Prob. 5.42HPCh. 5 - Prob. 5.43HPCh. 5 - Prob. 5.44HPCh. 5 - For the circuit shown in Figure P5.41, assume that...Ch. 5 - Prob. 5.46HPCh. 5 - Prob. 5.47HPCh. 5 - For the circuit in Figure P5.47, assume...Ch. 5 - In the circuit in Figure P5.49, how long after the...Ch. 5 - Refer to Figure P5.49 and assume that the switch...Ch. 5 - The circuit in Figure P5.51 includes a...Ch. 5 - At t=0 the switch in the circuit in Figure...Ch. 5 - Prob. 5.53HPCh. 5 - The analogy between electrical and thermal systems...Ch. 5 - The burner and pot of Problem 5.54 can be modeled...Ch. 5 - Prob. 5.56HPCh. 5 - Prob. 5.57HPCh. 5 - Prob. 5.58HPCh. 5 - The circuit in Figure P5.59 models the charging...Ch. 5 - Prob. 5.60HPCh. 5 - In the circuit shown in Figure P5.61:...Ch. 5 - Prob. 5.62HPCh. 5 - If the switch shown in Figure P5.63 is closed at...Ch. 5 - Prob. 5.64HPCh. 5 - Prob. 5.65HPCh. 5 - Prob. 5.66HPCh. 5 - Prob. 5.67HPCh. 5 - Prob. 5.68HPCh. 5 - Assume the switch in the circuit in Figure...Ch. 5 - Prob. 5.70HPCh. 5 - Prob. 5.71HPCh. 5 - Prob. 5.72HPCh. 5 - Prob. 5.73HPCh. 5 - Prob. 5.74HPCh. 5 - Prob. 5.75HPCh. 5 - Prob. 5.76HPCh. 5 - Prob. 5.77HPCh. 5 - Prob. 5.78HPCh. 5 - Prob. 5.79HPCh. 5 - Assume the circuit in Figure P5.80 is in DC steady...Ch. 5 - Prob. 5.81HPCh. 5 - For t0 , determine v in Figure P5.82, assuming DC...
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- A resistor & a capacitor are connected in series across 230V, ac supply. The current taken by the circuit is 4 A for 50 Hz frequency. The current is reduced to 2 A, when the frequency of supply is decreased to 40 Hz. Determine the value of resistor & the capacitor.arrow_forwardAn inductor of 150hms and resistance of 10 Ohms are connected in series to a 230V, 50 Hz ac supply. Determine the active and reactive power and power factor in the circuit.arrow_forwardFor the circuit given in Figure-2, let the switch was initially closed at position-1 for a 5T time and then the switch is moved to position-2 and left there. Determine: i. Draw capacitor charging circuit and time constant for charging circuit. ii. Expression for vc and ic while switch is in position-1. iii. Compute vc and ic at t = 1T time while switch is at position-1. iv. Time constant for discharging circuit and draw discharging circuit. v. Expression for vc and ic while switch is at position-2. vi. Compute vc and ic at t = 1T while switch is at position-2. vii. Sketch the voltage and current plot for charging and discharging of capacitor and indicate voltage and currents points on the plot. 10 kΩ ( 15 kN R1 R3 E R2 5 kN E= 200V Figure-2 C= 20.75miyu Farrow_forward
- A 20-ohm resistor and a capacitor are connected in series with a battery of 60 volts. At t = 0, there is no charge on the capacitor. Find the capacitance if the current at t = 5 seconds is 3/e^s amperes. Ans. 0.05 Faradsarrow_forward7 For the circuit of Figure P5.47, determine the value of resistors R¡ and R2, knowing that the time constant before the switch opens is 1.5 ms, and it is 10 ms after the switch opens. Given: R3 = 15 k2, R3 = 30 k2, and C = 1 µF. Rs Vs R2:arrow_forwardDescribe the behavior of the voltage across the resistor with time as thecapacitor charges. Explain the reason for this behavior.arrow_forward
- Let is = 5A and Rg = 800 in the figure shown below. Calculate the maximum power transfer. What is the efficiency when R1 a. = 900?arrow_forwardIn the circuit of Figure P5.49, the switch changesposition at t = 0. At what time will the current throughthe inductor be 5 A? Plot iL(t).arrow_forwardGiven the circuit in Figure 04 and defining that: Vs = 100 sin (wt) Volts and the firing angle of the thyristors T1 and T2 is equal to 110° and that T3 and T4 have similar firings in the negative half-cycle of Vs. a)Sketch the output voltage waveform for a highly inductive load. b) Sketch the waveform output voltage, replacing the highly inductive load with a purely resistive load. c) Get the value of the average output voltage when the load is purely resistive.arrow_forward
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