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 4, Problem 4.23HP
To determine
The energy stored in the inductor for all the time.
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Question 4
Determine for the RLC circuit of Figure Q4.0, ((t) and v(t) for t> 0 given that v. (0) = 1 V and ((0) = 0.5 A.
i(t)
(0)
2H
v(t)
0.125 F
Figure Q4.0
100
80
4.
In the circuit shown in Figure P4, let
Ri - 2Ω, R2 1Ω , R3 = 2Ω, R42Ω, Rs 1Ω, c=0.2F,L= 2H, ν(0) -3V,
i(0) = 3A, vs(t) = 4 u(t), Vb = V.
%3D
%3D
%3D
%3D
(a) Draw the circuit in the s-domain for t> 0.
(b) Write a node equation at node a by summing the currents leaving node a.
(c) Write a node equation at node b by summing the currents leaving node b.
(d) Find Vo(s) in the s-domain.
(e) Find vo(t) in the time domain.
R1
Va
R3
Vb
i(0-)
b
a
+
R2
vs(t)
R4
R5
Vo
v (0-)
C
4.41. Find the z-transform of the following x[n):
(a) x[n]=
(b) x[n]=28[n+ 2]-38[n 2]
(c) x[n]= 3-
u[n]-2(3)"u[-n-1]
1.
[-n-1]
4)
(d) x[n]= 3
u[n]-2
Chapter 4 Solutions
Principles and Applications of Electrical Engineering
Ch. 4 - The current through a 0.8-H inductor is given by...Ch. 4 - For each case shown below, derive the expression...Ch. 4 - Derive the expression for the voltage across...Ch. 4 - In the circuit shown in Figure P4.4, assume R=1...Ch. 4 - Prob. 4.5HPCh. 4 - In the circuit shown in Figure P4.4, assume R=2...Ch. 4 - In the circuit shown in Figure P4.7, assume R=2...Ch. 4 - Prob. 4.8HPCh. 4 - Prob. 4.9HPCh. 4 - Prob. 4.10HP
Ch. 4 - The voltage waveform shown in Figure P4.10 is...Ch. 4 - The voltage across a 0.5-mH inductor, Plotted as a...Ch. 4 - Prob. 4.13HPCh. 4 - The current through a 16-H inductor is zero at t=0...Ch. 4 - The voltage across a generic element X has the...Ch. 4 - The plots shown in Figure P4.16 are the voltage...Ch. 4 - The plots shown in Figure P4.17 are the voltage...Ch. 4 - The plots shown in Figure P4.18 are the voltage...Ch. 4 - The plots shown in Figure P4.19 are the voltage...Ch. 4 - The voltage vL(t) across a 10-mH inductor is shown...Ch. 4 - The current through a 2-H inductor is p1otted in...Ch. 4 - Prob. 4.22HPCh. 4 - Prob. 4.23HPCh. 4 - Prob. 4.24HPCh. 4 - The voltage vC(t) across a capacitor is shown in...Ch. 4 - The voltage vL(t) across an inductor is shown in...Ch. 4 - Find the average and rms values of x(t) when:...Ch. 4 - The output voltage waveform of a controlled...Ch. 4 - Refer to Problem 4.28 and find the angle + that...Ch. 4 - Find the ratio between the average and rms value...Ch. 4 - The current through a 1- resistor is shown in...Ch. 4 - Derive the ratio between the average and rms value...Ch. 4 - Find the rms value of the current waveform shown...Ch. 4 - Determine the rms (or effective) value of...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Find the phasor form of the following functions:...Ch. 4 - Convert the following complex numbers to...Ch. 4 - Convert the rectangular factors to polar form and...Ch. 4 - Complete the following exercises in complex...Ch. 4 - Convert the following expressions to rectangular...Ch. 4 - Find v(t)=v1(t)+v2(t) where...Ch. 4 - The current through and the voltage across a...Ch. 4 - Express the sinusoidal waveform shown in Figure...Ch. 4 - Prob. 4.45HPCh. 4 - Convert the following pairs of voltage and current...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - The generalized version of Ohm’s law for impedance...Ch. 4 - Prob. 4.50HPCh. 4 - Determine the voltage v2(t) across R2 in the...Ch. 4 - Determine the frequency so that the current Ii...Ch. 4 - Prob. 4.53HPCh. 4 - Use phasor techniques to solve for the current...Ch. 4 - Use phasor techniques to solve for the voltage...Ch. 4 - Prob. 4.56HPCh. 4 - Solve for VR shown in Figure P4.57. Assume:...Ch. 4 - With reference to Problem 4.55, find the value of ...Ch. 4 - Find the current iR(t) through the resistor shown...Ch. 4 - Find vout(t) shown in Figure P4.60.Ch. 4 - Find the impedance Z shown in Figure...Ch. 4 - Find the sinusoidal steady-state output vout(t)...Ch. 4 - Determine the voltage vL(t) across the inductor...Ch. 4 - Determine the current iR(t) through the resistor...Ch. 4 - Find the frequency that causes the equivalent...Ch. 4 - a. Find the equivalent impedance Zo seen by the...Ch. 4 - A common model for a practical capacitor has...Ch. 4 - Using phasor techniques, solve for vR2 shown in...Ch. 4 - Using phasor techniques to solve for iL in the...Ch. 4 - Determine the Thévenin equivalent network seen by...Ch. 4 - Determine the Norton equivalent network seen by...Ch. 4 - Use phasor techniques to solve for iL(t) in...Ch. 4 - Use mesh analysis to determine the currents i1(t)...Ch. 4 - Prob. 4.74HPCh. 4 - Prob. 4.75HPCh. 4 - Find the Thévenin equivalent network seen by the...Ch. 4 - Prob. 4.77HPCh. 4 - Prob. 4.78HPCh. 4 - Prob. 4.79HPCh. 4 - Prob. 4.80HPCh. 4 - Use mesh analysis to find the phasor mesh current...Ch. 4 - Write the node equations required to solve for all...Ch. 4 - Determine Vo in the circuit of Figure...Ch. 4 - Prob. 4.84HP
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- Below is a linear mechanical system and free body diagrams related to this system. X2 (s) / F (s) transfer function 可 t-x1(t) 2 N/m M2 2 kg 5 M1 1 kg At) M2 2. 2- 1N-s/m 4. M1 3 3 sürtünmesiz'arrow_forwardConsider the below Figure. e' (1) Go(s) e(t) r(1)- G,(s) 4 Determine G(z) when T = 1 and G, (s) = S+4 (e*-1) (a) G(z)= (e-z) (e*-1) (b) G(Z) T2-e) (1-e*) (c) G(z)%= (1-e*) (d) G(z)= (e-z)arrow_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 = 20 Ω.arrow_forward
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