Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 2, Problem 12P
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5. Represent the following system in state-space form. Write A, B, C and D clearly in
your answer.
d³y d²y
dt3
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+5y=2u
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d¹y d³y
+3.
dy
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dt4 dt3 dt
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d²u
du
4y =
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1. Consider a plant that you want to control. The input u(t) and output y(t) of the
plant are related by
y(t) = 7 u(t) + w(t)
where w(t) is an additive disturbance at the output which is bounded by
-0.5 w(t) ≤0.5 for all time t. You want to build a controller so that the output
follows a constant reference signal r(t) = where -15 ≤≤ 15. You will consider
both open-loop and closed-loop for this problem.
a) Sketch the block diagram of the plant.
b) Please build an open-loop controller that sets the output to 7, assuming the
disturbance is ignored. Please show your controller both as an equation and a
block diagram.
c) Say that you use the open-loop controller in part b, but now the disturbance
w(t) is present. What is the maximum possible magnitude of error in the output
for the reference signal?
Suppose you have designed a feedback control for the plant where the controller
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Chapter 2 Solutions
Basic Engineering Circuit Analysis
Ch. 2 - Determine the current and power dissipated in the...Ch. 2 - Determine the voltage across the resistor in Fig....Ch. 2 - In the network in Fig. P2.3, the power absorbed by...Ch. 2 - In the network in Fig. P2.4, the power absorbed by...Ch. 2 - A model for a standard two D-cell flashlight is...Ch. 2 - An automobile uses two halogen headlights...Ch. 2 - Many years ago a string of Christmas tree lights...Ch. 2 - Find I1,I2, and I3 in the network in Fig.P2.8.Ch. 2 - Find I1 in the network in Fig.P2.9.Ch. 2 - Find I1 in the network in Fig.P2.10.
Ch. 2 - Find I1 in the circuit in Fig.P2.11.Ch. 2 - Find I0 and I1 in the circuit in Fig.P2.12.Ch. 2 - Find Ix,Iy, and Iz in the network in Fig.P2.13.Ch. 2 - Find Ix in the circuit in Fig.P2.14.Ch. 2 - Find Ix in the network in Fig. P2.15.Ch. 2 - Find I1 in the network in Fig. P2.16.Ch. 2 - Find Vbd in the circuit in Fig. P2.17.Ch. 2 - Find I1 in the circuit in Fig. P2.18.Ch. 2 - Find I1,I2, and I3 in the network in Fig. P2.19.Ch. 2 - Find Vfb and Vec in the circuit in Fig. P2.20.Ch. 2 - Given the circuit diagram in Fig. P2.21, find the...Ch. 2 - Find VBE and VDA in the circuit in Fig. P2.22.Ch. 2 - Find Vx and Vy in the circuit in Fig. P2.23.Ch. 2 - Find Vac in the circuit in Fig. P2.24.Ch. 2 - Find Vad and Vce in the circuit in Fig. P2.25.Ch. 2 - Find Vo in the circuit in Fig. P2.26.Ch. 2 - Find V1,V2, and V3 in the network in Fig. P2.27.Ch. 2 - Find Vo in the network in Fig. P2.28.Ch. 2 - Find V1,V2, and V3 in the network in Fig. P2.29.Ch. 2 - If Vo=3V in the circuit in Fig. P2.30, find Vs.Ch. 2 - Find the power supplied by each source in the...Ch. 2 - The 10-V source absorbs 2.5-mW of power. Calculate...Ch. 2 - Find Vbd in the network in Fig. P2.33.Ch. 2 - Find V1 in the network in Fig. P2.34.Ch. 2 - Find the power absorbed by the dependent source in...Ch. 2 - In the network in Fig. P2.36, find Vx,VAE, and VBD...Ch. 2 - In the network in Fig. P2.37, find VS if VEB=6V.Ch. 2 - Find VS in the circuit in Fig. P2.38, if VBE=18V.Ch. 2 - Find VA in the network in Fig. P2.39.Ch. 2 - If the 12-V source in the network in Fig. P2.40...Ch. 2 - If VX=12V in the network in Fig. P2.41, find VS...Ch. 2 - Calculate the power absorbed by the dependent...Ch. 2 - Find VA and VO in the circuit in Fig. P2.43.Ch. 2 - Find VO and the power absorbed by the 2k resistor...Ch. 2 - Find the power absorbed or supplied by the 12-V...Ch. 2 - Find Vo in the circuit in Fig. P2.46.Ch. 2 - Find I0 in the network in Fig. P2.47.Ch. 2 - Find Io in the network in Fig. P2.48.Ch. 2 - Find the power supplied by each source in the...Ch. 2 - Find the current IA in the circuit in Fig. P2.50.Ch. 2 - Find IS in the network in Fig. P2.51.Ch. 2 - Find Io in the circuit in Fig. P2.52.Ch. 2 - Find Io in the network in Fig. P2.53.Ch. 2 - Find Vo in the circuit in Fig. P2.54.Ch. 2 - Find Vo in the network in Fig. P2.55.Ch. 2 - Find Io in the network in Fig. P2.56.Ch. 2 - Find Io in the network in Fig. P2.57.Ch. 2 - Find IL in the circuit in Fig. P2.58.Ch. 2 - Find RAB in the network in Fig. P2.59.Ch. 2 - Find RAB in the circuit in Fig. P2.60.Ch. 2 - Find RAB in the circuit in Fig. P2.61.Ch. 2 - Find RAB in the network in Fig. P2.62.Ch. 2 - Find RAB in the circuit in Fig. P2.63.Ch. 2 - Find RAB in the circuit in Fig. P2.64.Ch. 2 - Find RAB in the circuit in Fig. P2.65.Ch. 2 - Find the equivalent resistance Req in the network...Ch. 2 - Find RAB in the network in Fig. P2.67.Ch. 2 - Given the resistor configuration shown in Fig....Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Find the power supplied by the source in the...Ch. 2 - Find I1 and Vo in the circuit in Fig. P2.73.Ch. 2 - Find I1 and Vo in the circuit in Fig. P2.74.Ch. 2 - Find Vab and Vdc in the circuit in Fig. P2.75.Ch. 2 - Find Io in the network in Fig. P2.76.Ch. 2 - Find Io in the circuit in Fig. P2.77.Ch. 2 - Find V1 in the network in Fig. P2.78.Ch. 2 - Find Vab in the circuit in Fig. P2.79.Ch. 2 - Find Vab in the network in Fig. P2.80.Ch. 2 - Find I1,I2, and V1 in the circuit in Fig. P2.81.Ch. 2 - Determine Vo in the network in Fig. P2.82.Ch. 2 - Calculate VAB in Fig. P2.83.Ch. 2 - Find Io in the network in Fig. P2.84 if all...Ch. 2 - Find Io in the circuit in Fig. P2.85.Ch. 2 - Determine the power supplied by the 36-V source in...Ch. 2 - Find the power supplied by the current source in...Ch. 2 - In the network in Fig. P2.88, V1=12V. Find VS.Ch. 2 - In the circuit in Fig. P2.89, Vo=2V. Find IS.Ch. 2 - In the network in Fig. P2.90, V1=14V. Find VS.Ch. 2 - If VR=15V, find VX in Fig. P2.91.Ch. 2 - Find the value of IA in the network in Fig. P2.92.Ch. 2 - If V1=5V in the circuit in Fig. P2.93, find IS.Ch. 2 - Given that Vo=4V in the network in Fig. P2.94,...Ch. 2 - Find the value of VS in the network in Fig. P2.95...Ch. 2 - In the network in Fig. P2.96, VO=6V. Find IS.Ch. 2 - Find the value of V1 in the network in Fig. P2.97...Ch. 2 - Find the value of IA in the circuit in Fig. P2.98.Ch. 2 - If the power supplied by the 2-A current source is...Ch. 2 - The 40-V source in the circuit in Fig. P2.100 is...Ch. 2 - Find the value of the current source IA in the...Ch. 2 - Given Io=2mA in the network in Fig. P2.102, find...Ch. 2 - Find the value of Vx in the network in Fig....Ch. 2 - Given Ia=2mA in the circuit in Fig. P2.104, find...Ch. 2 - Given Va in the network in Fig. 2.105, find IA.Ch. 2 - Find the value of Vx in the circuit in Fig. P2.106...Ch. 2 - Find the power absorbed by the network in Fig....Ch. 2 - Find the value of g in the network in Fig. P2.108...Ch. 2 - Find the power supplied by the 24-V source in the...Ch. 2 - Find Io in circuit in Fig. P2.110.Ch. 2 - Find Io in circuit in Fig. P2.111.Ch. 2 - Determine the value of Vo in the network in Fig....Ch. 2 - If Vo in the circuit in Fig. P2.113 is 24 V, find...Ch. 2 - Find the value of VS in the network in Fig....Ch. 2 - Find the power supplied by the 6-mA source in the...Ch. 2 - Find Vo in the circuit in Fig. P2.116.Ch. 2 - Find Vo in the network in Fig. P2.117.Ch. 2 - Find I1 in the network in Fig. P2.118.Ch. 2 - A single-stage transistor amplifier is modeled as...Ch. 2 - Find Io in the circuit in Fig. P2.120.Ch. 2 - Find Vo in the circuit in Fig. P2.121.Ch. 2 - A typical transistor amplifier is shown in Fig....Ch. 2 - Find VX in the network in Fig. P2.123.Ch. 2 - Find Vo in the network in Fig. P2.124.Ch. 2 - Find I1,I2, and I3 in the circuit in Fig. P2.125.Ch. 2 - Find Io in the network in Fig. P2.126.Ch. 2 - Find the power absorbed by the 12-k resistor on...Ch. 2 - Find the power absorbed by the 12-k resistor in...Ch. 2 - Find the value of k in the network in Fig. P2.129...Ch. 2 - If the power absorbed by the 10-V source in Fig....Ch. 2 - If the power supplied by the 2-A current source in...Ch. 2 - What is the power generated by the source in the...Ch. 2 - Find v ah in the circuit in Fig. 2PFE-2. a. 5V c....Ch. 2 - If Req=10.8 in the circuit in Fig. 2PFE-3, what is...Ch. 2 - Find the equivalent resistance of the circuit in...Ch. 2 - The 100-V source is absorbing 50W of power in the...Ch. 2 - Find the power supplied by the 40-V source in the...Ch. 2 - What is the current I0 in the circuit in Fig....Ch. 2 - Find the voltage Vo in the network in Fig. 2PFE-8....Ch. 2 - What is the voltage Vo in the circuit in Fig....Ch. 2 - Find the current Ix in Fig. 2PFE-10. a. 1/2Ac....
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