ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Textbook Question
Chapter 10, Problem 21E
Insert an appropriate complex source into the circuit represented in Fig. 10.50, and use it to determine steady-state expressions for iC(t) and vC(t).
FIGURE 10.50
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Consider the system below. For this question, let C (s) = K, in this question K is a positive real number.
a) Prove that if the root locus of the system is drawn, the points s1,2=−0.3214 ± 2.8951j will be on the curve. (Show it by doing mathematical calculation without drawing the curve.)
b) Draw the root locus of the system.
c) It is desired that the dominant (= near the imaginary axis) poles of the closed loop system be at the points s1,2= −0.3214 ± 2.8951j. What should K be for this? What can be said about the stability of the closed loop system for this K value?
d) What are the unit step, ramp and parabolic reference tracking errors of the system for K in the option c?
Choose the correct answer/s?
Q.15: The switch has been in position "a" for a
long time. At t=0 the switch is moved to
position "b". Use classical method to find
the voltage across and current through the
capacitor as a function of time?
(Ans.: Vc(t)=80[1.25-e
20
b1002 10m H
t%3D0S
30V
42
100V
2uF
5000t
-5000t
(cos5000t+sin5000t)] V & ic(t)=1.6e
sin5000t A)
Chapter 10 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 10.1 - Find the angle by which i1 lags v1 if v1 = 120...Ch. 10.2 - Determine values for A, B, C, and if 40 cos(100t ...Ch. 10.2 - Let vs = 40 cos 8000t V in the circuit of Fig....Ch. 10.3 - Prob. 4PCh. 10.3 - If the use of the passive sign convention is...Ch. 10.4 - Let = 2000 rad/s and t = 1 ms. Find the...Ch. 10.4 - Transform each of the following functions of time...Ch. 10.4 - In the circuit of Fig. 10.17, both sources operate...Ch. 10.5 - With reference to the network shown in Fig. 10.19,...Ch. 10.5 - In the frequency-domain circuit of Fig. 10.21,...
Ch. 10.5 - Determine the admittance (in rectangular form) of...Ch. 10.6 - Use nodal analysis on the circuit of Fig. 10.23 to...Ch. 10.6 - Use mesh analysis on the circuit of Fig. 10.25 to...Ch. 10.7 - If superposition is used on the circuit of Fig....Ch. 10.7 - Prob. 15PCh. 10.7 - Determine the current i through the 4 resistor of...Ch. 10.8 - Select some convenient reference value for IC in...Ch. 10 - Evaluate the following: (a) 5 sin (5t 9) at t =...Ch. 10 - (a) Express each of the following as a single...Ch. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Calculate the first three instants in time (t 0)...Ch. 10 - (a) Determine the first two instants in time (t ...Ch. 10 - The concept of Fourier series is a powerful means...Ch. 10 - Household electrical voltages are typically quoted...Ch. 10 - Prob. 10ECh. 10 - Assuming there are no longer any transients...Ch. 10 - Calculate the power dissipated in the 2 resistor...Ch. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Express the following complex numbers in...Ch. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Evaluate the following, and express your answer in...Ch. 10 - Perform the indicated operations, and express the...Ch. 10 - Insert an appropriate complex source into the...Ch. 10 - For the circuit of Fig. 10.51, if is = 2 cos 5t A,...Ch. 10 - In the circuit depicted in Fig. 10.51, if is is...Ch. 10 - Employ a suitable complex source to determine the...Ch. 10 - Transform each of the following into phasor form:...Ch. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - The following complex voltages are written in a...Ch. 10 - Assuming an operating frequency of 50 Hz, compute...Ch. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Assuming the passive sign convention and an...Ch. 10 - The circuit of Fig. 10.53 is shown represented in...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent impedance of the...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent admittance of the...Ch. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Find V in Fig. 10.55 if the box contains (a) 3 in...Ch. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Design a suitable combination of resistors,...Ch. 10 - Design a suitable combination of resistors,...Ch. 10 - For the circuit depicted in Fig. 10.58, (a) redraw...Ch. 10 - For the circuit illustrated in Fig. 10.59, (a)...Ch. 10 - Referring to the circuit of Fig. 10.59, employ...Ch. 10 - In the phasor-domain circuit represented by Fig....Ch. 10 - With regard to the two-mesh phasor-domain circuit...Ch. 10 - Employ phasor analysis techniques to obtain...Ch. 10 - Determine IB in the circuit of Fig. 10.62 if and ....Ch. 10 - Determine V2 in the circuit of Fig. 10.62 if and ....Ch. 10 - Employ phasor analysis to obtain an expression for...Ch. 10 - Determine the current ix in the circuit of Fig....Ch. 10 - Obtain an expression for each of the four...Ch. 10 - Determine the nodal voltages for the circuit of...Ch. 10 - Prob. 59ECh. 10 - Obtain an expression for each of the four mesh...Ch. 10 - Determine the individual contribution each current...Ch. 10 - Determine V1 and V2 in Fig. 10.68 if I1 = 333 mA...Ch. 10 - Prob. 63ECh. 10 - Obtain the Thvenin equivalent seen by the (2 j) ...Ch. 10 - The (2 j) impedance in the circuit of Fig. 10.69...Ch. 10 - With regard to the circuit depicted in Fig. 10.70,...Ch. 10 - Prob. 67ECh. 10 - Determine the individual contribution of each...Ch. 10 - Determine the power dissipated by the 1 resistor...Ch. 10 - The source Is in the circuit of Fig. 10.75 is...Ch. 10 - Prob. 72ECh. 10 - (a) Calculate values for IL, IR, IC, VL, VR, and...Ch. 10 - In the circuit of Fig. 10.77, (a) find values for...Ch. 10 - The voltage source Vs in Fig. 10.78 is chosen such...Ch. 10 - For the circuit shown in Fig. 10.79, (a) draw the...Ch. 10 - For the circuit shown in Fig. 10.80, (a) draw the...Ch. 10 - (a) Replace the inductor in the circuit of Fig....Ch. 10 - Design a purely passive network (containing only...
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