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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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.
Write the differential equation for t > 0 for thecircuit of Figure P5.21.
5.46 After having been in position 1 for a long time, the switch
in the circuit of Fig. P5.46 was moved to position 2 at t = 0.
Given that Vo 12 V, R₁ = 30 S2, R₂ = 120 M2, R3 = 60 2,
and L= 0.2 H, determine:
(a) iL (0) and UL (0)
(b) iL (0) and UL (0)
(c) iL (0) and UL (0)
(d) i(t) for t≥0
(e) UL (t) for t≥0
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_forwardWrite the differential equation for t > 0 for thecircuit of Figure P5.34arrow_forwardDetermine the initial and final conditions for thecircuit of Figure P5.49arrow_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_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_forwardIn the circuit shown in Figure 1, find the values of R and C such that the steady-state voltage across the capacitance and the time constant of the response for t> 0 are -10V and 20 seconds respectively. Place all the details of your design.arrow_forward
- can you solve pelase?arrow_forward5.1 Find V, in the circuit shown in Figure P5.1. FIGURE P5.1 0.5 V Vs R₁ www 1 ΚΩ ti + U₁ R₂ 6 ΚΩ OUTarrow_forwardRL circuit.- hos. R= 25 R 9c t =0. charging Cumrent, voliage Question5: -A series L: 5H. . A is vaitage Find 100 V Opplied at (a) equation_ob. acrossR f L b) Current în ther Cireuit, o:5 sec later. time which voitage dops_acoss at. some. - 5 t ict)=4(1- e -5t 100(1-e - 5t 100 € Ansi (0). Vpct) = %3D %3D 369 A. t = 0.139. sec.arrow_forward
- Q5. Find the v.(t) in the circuit as shown in Figure Q5 if v.(t) =2V and i(0)=1A. 1F e"u(t) A 1 H Figure Q5 ele ww ww-arrow_forwardneed step by step solution with explainationarrow_forwardA high voltage engineer cascades having 6 stages Each in the circut . each stages capacitance is 15 nF and Input voltage to the circuit is 100kV at 100 Hz and the load current is 1mA. so this voltages not enough with one moudle . So How much moudle can be connect in cascades fashion .Justify your opinion with relevant mathematical analysis.arrow_forward
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