Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 4, Problem 4.67P
Solve for i(t) for t > 0 in the circuit of Figure P4.67,, with R = 50
Figure P4.67
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In the circuit shown in Figure P4.a, the switch is closed at t = 0. The capacitor voltage is charged to
vc (0) = 12 V prior to t = 0. The voltage source is us(t) = 35 cos (1000t) V. Find the expressions of uc (t)
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500 Ω
ww
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i(t) 1.5 µF
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P4.45.) Write the differential equation for i(t) and
find the complete solution for the circuit of
Figure P4.45. [Hint: Try a particular solution
of the form ip (t) = Ae- ]with out Lapluce
t = 0
10 H
i(t)
5e
Figure P4.45
Solve for i L ( t ) for t>0 in the circuit of Figure P4.48. You will need to make an educated guess as to the form of the particular solution. [Hint: The particular solution includes terms with the same functional forms as the terms found in the forcing function and its derivatives.]
Chapter 4 Solutions
Electrical Engineering: Principles & Applications (7th Edition)
Ch. 4 - Suppose we have a capacitance C discharging...Ch. 4 - The dielectric materials used in real capacitors...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - A 100F capacitance is initially charged to 1000 V....Ch. 4 - At t = 0, a charged 10{ F capacitance is connected...Ch. 4 - At time t1 , a capacitance C is charged to a...Ch. 4 - Given an initially charged capacitance that begins...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - In physics, the half-life is often used to...Ch. 4 - We know that a 50F capacitance is charged to an...
Ch. 4 - We know that the capacitor shown in Figure P4.11...Ch. 4 - The purchasing power P of a certain unit of...Ch. 4 - Derive an expression for vC(t) in the circuit of...Ch. 4 - Suppose that at t= 0, we connect an uncharged 10 F...Ch. 4 - Suppose we have a capacitance C that is charged to...Ch. 4 - A person shuffling across a dry carpet can be...Ch. 4 - Prob. 4.17PCh. 4 - Consider the circuit shown in Figure P4.18. Prior...Ch. 4 - List the steps for dc steady-state analysis of RLC...Ch. 4 - Explain why we replace capacitances with open...Ch. 4 - Solve for the steady-state values of i1, i2, and...Ch. 4 - Consider the circuit shown in Figure P4.22. What...Ch. 4 - In the circuit of Figure P4.23, the switch is in...Ch. 4 - The circuit shown in Figure P4.24 has been set up...Ch. 4 - Solve for the steady-state values of i1 , i2, i3,...Ch. 4 - The circuit shown in Figure P4.26 is operating in...Ch. 4 - Prob. 4.27PCh. 4 - Consider the circuit of Figure P4.28 in which the...Ch. 4 - For the circuit shown in Figure P4.29, the switch...Ch. 4 - Consider the circuit of Figure P4.30 in which the...Ch. 4 - Give the expression for the time constant of a...Ch. 4 - A circuit consists of switches that open or close...Ch. 4 - The circuit shown in Figure P4.33 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.34. The...Ch. 4 - Repeat Problem P4.34 given iL(0)=0A .Ch. 4 - Real inductors have series resistance associated...Ch. 4 - Determine expressions for and sketch is(t) to...Ch. 4 - For the circuit shown in Figure P4.38,, find an...Ch. 4 - The circuit shown in Figure P4.39 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.40. A...Ch. 4 - Due to components not shown in the figure, the...Ch. 4 - The switch shown in Figure P4.42 has been closed...Ch. 4 - Determine expressions for and sketch vR(t) to...Ch. 4 - What are the steps in solving a circuit having a...Ch. 4 - Prob. 4.45PCh. 4 - Solve for vC(t) for t > 0 in the circuit of Figure...Ch. 4 - Solve for v(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.48PCh. 4 - Consider the circuit shown inFigure P4.49. The...Ch. 4 - Consider the circuit shown in Figure P4.50. The...Ch. 4 - The voltage source shown in Figure P4.51 is called...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - How can first-or second-order circuits be...Ch. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Sketch a step response for a second-order system...Ch. 4 - A dc source is connected to a series RLC circuit...Ch. 4 - Repeat Problem P4.61 for R = 40 .Ch. 4 - Repeat Problem P4.61 for R = 20 .Ch. 4 - Prob. 4.64PCh. 4 - Repeat Problem P4.64 for R=50 .Ch. 4 - Repeat Problem P4.64 for R=500 .Ch. 4 - Solve for i(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Use MATLAB to derive an expression for vc(t)in the...Ch. 4 - Prob. 4.72PCh. 4 - Consider the circuit shown in FigureP4.50 in which...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Use MATLAB to solve for the mesh currents in the...Ch. 4 - The switch m the circuit shown in Figure T4.1 is...Ch. 4 - Prob. 4.2PTCh. 4 - Consider the circuit shown in Figure T4.3. Figure...Ch. 4 - Consider the circuit shown in Figure T4.4 in which...Ch. 4 - Write the MATLAB commands to obtain the solution...
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- *P4.61. A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in Figure P4.61. The initial conditions are i(0+) = 0 and vc(0+) = 0. Write the dif- ferential equation for vc(t). Solve for vc(t) given that R = 80 2. t = 0 R 2 mH + V = 50 V i(t) vclt) 5 µF i(0) = 0 vc(0) = 0 Figure P4.61arrow_forwardA dc source is connected to a series RLC circuit by a switch that closes at t=0, as shownin Figure P4.61. The initial conditions are i(0+)=0 and vC(0+)=0. Write the differentialequation for vC(t).Solve for v C ( t ), if R = 80 Ω.arrow_forward4Carrow_forward
- Solve for i(t) for t>0 in the circuit of Figure P4.67, with R=400 Ω, given that i( 0+ )=0 and v C ( 0+ )=20 V [Hint: Try a particular solution of the form i p ( t )= A cos( 100t )+B sin( 100t ).]arrow_forwardPlease answer in typing format solution please Please answer in typing format I will like it thanksarrow_forwardFor the circuit shown in Figure P4.29, the switch is closed for a long time prior to t=0.Find expressions for vC(t) and sketch it to scale for −80≤t≤160 ms.arrow_forward
- P4.34. Consider the circuit shown in Figure P4.34. The initial current in the inductor is iL (0-) 0. Find expressions for i (t) and v(t) for t> 0 and sketch to scale versus time. 0.1 A (1) R = v(t) 1 k2 t = 0 1 mH Figure P4.34arrow_forwardWrite the differential equation for i L(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form i Lp ( t )=A e −t .]arrow_forward*P4.34. Consider the circuit shown in Figure P4.34. The initial current in the inductor is i L (0- )= -0.2 A. Find expressions for i L (t) and v() for t20 and sketch to scale versus time. R= 2 kl L= 0.3 A 10 mH Figure P4.34arrow_forward
- Solve for v(t) for t>0 in the circuit of Figure P4.47, given that the inductor current is zero prior to t=0. [Hint: Try a particular solution of the form v p =A cos( 10t )+B sin( 10t ).]arrow_forward4.61 In the circuit shown in Figure P4.61: VS1 = 15 V Vs2 = 9 V Rs1 = 130 Q R$2 = 290 22 R₁ = 1.1 kQ2 R₂ = 700 Q L = 17 mH C = 0.35 µF Determine the voltage vc across the capacitor and the current i, through the inductor as t → ∞o. Rs1 Vsi t=0 iL LR₁ Figure P4.61 CVC R$2 с +21 ww R₂ V s2arrow_forwardP4.44. What are the steps in solving a circuit having a resistance, a source, and an inductance (or capacitance)? *P4.45.) Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form ip(t) =Ae-!] %3D 10 H 5et i(t) 5Ω Figure P4.45 P14arrow_forward
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