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 5, Problem 5.8HP
Write the differential equation for
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Solve for the node voltages shown in Figure P5.53.
10/0
(+
10 2
+j20 2
15 n 1
Figure P5.53
000
Consider the R-C circuit. we idealise the emf to be constant and have zero internal resistance. We begin with capacitor initially uncharged. At initial time t=0, the switch was closed. Answer the questions attached.
2 Determine vc(t) for t > 0. The voltage across the
capacitor in Figure P5.32 just before the switch is
changed is given below.
vc(0-) = -7 V
I, = 17 mA
C = 0.55 µF
R = 7 k2
R2 = 3.3 k2
t= 0
R2
R1
CVct)
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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- NOTE ON SIGN CONVENTIONS: The open-circuit voltage Voc is the open-circuit value of Vab. The short-circuit current is the current which flows from a to b in a wire connected between these two terminals. Please use these conventions throughout this assignment. Problem 5-1. For the network of figure P5-1, determine the Thevenin equivalent with respect to the terminals a and b. 20V + 1ΚΩ 10mA 2ΚΩ ww 8ΚΩ ww 4ΚΩ. 1.5ΚΩ a barrow_forwardGiven circuit below, use superposition to find voltage across the capacitor, vclt). Frequency is 100 Hz. 6kn 4kn reee zkn O SmA <45 Vc (t) DC a) Given circuit below and switch ciosed for long time, what is the value of Vc? 5mA 3 luk bị At0, switch is opened. Write a mathematical expression for Velt) after opening of the switch. Evaluate this voltage at te10 ms. Attach File Browse Local Fies rowie Conent Cotection 74°Farrow_forward2 At t < 0, the circuit shown in Figure P5.22 is at steady state. The switch is changed as shown at t = 0. Vsi = 35 V C = 11 µF Vsz = 130 V R = 17 k2 R2 = 7 k2 R = 23 k2 Determine at t = 0+ the initial current through R just after the switch is changed. 1= 0 R3 Vs1 Vs2arrow_forward
- QUESTION 4 a) Circuit shown in Figure Q4a is a parallel RLC circuit, illustrate the circuit in phasor domain equivalent circuit and hence find the impedances, Zx, Zin and the steady state current ix(t). is(t) = 25 cos 1000t A Zin Vs(t) = 100 cos (20001+60°) V elle 10 Q2 10 mH Figure Q4a -j5Q 1100 mo www 200 Zx b) For the circuit of Figure Q4b, solve for the phasor current io(t), and the real and reactive power supplied by the voltage source, Vs. Figure Q4b ix m0000 50 µF 2002 relle 10 Q 50 mH -10 Qarrow_forwardSolve this ASAP. Figure is also attach.arrow_forwardThe characteristic equation of sixth order system is as below find the stability of system. + 2s° + 8s4 + 12s + 20s? + 16s + 16 = 0arrow_forward
- /Q6 The potential at point P due to Q1 and * :Q2 is = 1x10-12C 0.5 m 0.5 m Q2 = 1x10-12C %3D 50 cm P. 0.01797 V O -0.01271 V O ov O 0.01271 V C 10arrow_forward3. For the R-C circuit in below figure, composed of standard values: a. Determine the time constant of the circuit when the switch is thrown into position 1. b. Find the mathematical expression for the voltage across the capacitor and the current after the switch is thrown into position 1. c. Determine the voltage Vc and current éc the instant the switch is thrown into position 2, t-1s. d. Determine the mathematical equation for voltage Ve and current zc for the discharge phase. R=4.7KO, C=56µF, E=22V + 'R 29 ve (a)arrow_forward9 At t 0.arrow_forward
- Consider the system in the figure: Graph the geometric places of the roots as the k-value varies from 0 to infinity.arrow_forward21 C2 ec circuit the figure s an 2 copacitors. Initially , suwitch S is The Circuit io with 2 resistors ond a total charge of 200 MC is on open ond both copacitors. hos been stored. switch s is clased and copacitors are resistors . at dis charges it. (a=C2 =10MF, Rl=4 MVN over 22 =2 a) Find time cnstant of the crcult t=7 the b) The total Chorge in the capacitor system of the intial chorge. hauw long does half it drop t= ?arrow_forward3 Determine the current through the capacitor just before and just after the switch is closed in Figure P5.23. Assume steady-state conditions for t < 0. C = 0.5 µF V = 12 V R = 0.68 k2 R2 = 1.8 k2 t= 0 R2arrow_forward
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