Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 10.4, Problem 6PP
Calculate vo in the circuit of Fig. 10.15 using the superposition theorem.
Figure 10.15
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c)
An RC circuit is given in Figure Q1.1, where Vi(t) and Vo(t) are the input and
output voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change of Vi(t) applied to the circuit, derive the time
response of Vo(t) with this step change.
Vi(t)
C₁
Vo(1)
R₂ C2 C3 |
R = 20 ΚΩ = 50 ΚΩ
C=C2=C3=25 μF
Figure Q1.1. RC circuit.
c) An RC circuit is given in Figure Q1. vi(t) and vo (t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R₁ R2
v₁(t)
R3 C₁
v₁(t)
R₁ = R₂ = 10 k
R3
= 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
c)
A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii)
With a unit step change of Vi(t) applied to the circuit, derive the time
response of the circuit.
C₁ C₂
Vi(t)
Vo(1)
R₁ C₂
R-25 k C=C2=50 µF
Figure Q1.1. RC circuit.
Chapter 10 Solutions
Fundamentals of Electric Circuits
Ch. 10.2 - Using nodal analysis, find v1 and v2 is in the...Ch. 10.2 - Calculate V1 and V2 in the circuit shown in Fig....Ch. 10.3 - Find Io in Fig. 10.8 using mesh analysis. Figure...Ch. 10.3 - Figure 10.11 For Practice Prob. 10.4. Calculate...Ch. 10.4 - Find current Io in the circuit of Fig. 10.8 using...Ch. 10.4 - Calculate vo in the circuit of Fig. 10.15 using...Ch. 10.6 - Determine the Norton equivalent of the circuit in...Ch. 10.7 - Find vo and io in the op amp circuit of Fig....Ch. 10.7 - Obtain the closed-loop gain and phase shift for...Ch. 10.8 - Use PSpice to obtain vo and io in the circuit of...
Ch. 10.8 - Obtain Vx and Ix in the circuit depicted in Fig....Ch. 10.9 - Determine the equivalent capacitance of the op amp...Ch. 10.9 - In the Wien-bridge oscillator circuit in Fig....Ch. 10 - The voltage Vo across the capacitor in Fig. 10.43...Ch. 10 - The value of the current Io in the circuit of Fig....Ch. 10 - Using nodal analysis, the value of Vo in the...Ch. 10 - In the circuit of Fig. 10.46, current i(t) is: (a)...Ch. 10 - Refer to the circuit in Fig. 10.47 and observe...Ch. 10 - For the circuit in Fig. 10.48, the Thevenin...Ch. 10 - In the circuit of Fig. 10.48, the Thevenin voltage...Ch. 10 - Refer to the circuit in Fig. 10.49. The Norton...Ch. 10 - Figure 10.49 For Review Questions 10.8 and 10.9....Ch. 10 - PSpice can handle a circuit with two independent...Ch. 10 - Determine i in the circuit of Fig. 10.50. Figure...Ch. 10 - Using Fig. 10.51, design a problem to help other...Ch. 10 - Determine vo in the circuit of Fig. 10.52. Figure...Ch. 10 - Compute vo(t) in the circuit of Fig. 10.53. Figure...Ch. 10 - Find io in the circuit of Fig. 10.54.Ch. 10 - Determine Vx in Fig. 10.55. Figure 10.55 For Prob....Ch. 10 - Use nodal analysis to find V in the circuit of...Ch. 10 - Use nodal analysis to find current io in the...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Using nodal analysis, find io(t) in the circuit in...Ch. 10 - Using Fig. 10.61, design a problem to help other...Ch. 10 - Determine Vx in the circuit of Fig. 10.62 using...Ch. 10 - Calculate the voltage at nodes 1 and 2 in the...Ch. 10 - Solve for the current I in the circuit of Fig....Ch. 10 - Use nodal analysis to find Vx in the circuit shown...Ch. 10 - By nodal analysis, obtain current Io in the...Ch. 10 - Use nodal analysis to obtain Vo in the circuit of...Ch. 10 - Obtain Vo in Fig. 10.68 using nodal analysis.Ch. 10 - Refer to Fig. 10.69. If vs (t) = Vm sin t and vo...Ch. 10 - For each of the circuits in Fig. 10.70, find Vo/Vi...Ch. 10 - For the circuit in Fig. 10.71, determine Vo/Vs....Ch. 10 - Using nodal analysis obtain V in the circuit of...Ch. 10 - Design a problem to help other students better...Ch. 10 - Solve for io in Fig. 10.73 using mesh analysis....Ch. 10 - Use mesh analysis to find current io in the...Ch. 10 - Using mesh analysis, find I1 and I2 in the circuit...Ch. 10 - In the circuit of Fig. 10.76, determine the mesh...Ch. 10 - Using Fig. 10.77, design a problem help other...Ch. 10 - Use mesh analysis to find vo in the circuit of...Ch. 10 - Use mesh analysis to determine current Io in the...Ch. 10 - Determine Vo and Io in the circuit of Fig. 10.80...Ch. 10 - Compute I in Prob. 10.15 using mesh analysis....Ch. 10 - Use mesh analysis to find Io in Fig. 10.28 (for...Ch. 10 - Calculate Io in Fig. 10.30 (for Practice Prob....Ch. 10 - Compute Vo in the circuit of Fig. 10.81 using mesh...Ch. 10 - Use mesh analysis to find currents I1, I2, and I3...Ch. 10 - Using mesh analysis, obtain Io in the circuit...Ch. 10 - Find I1, I2, I3, and Ix in the circuit of Fig....Ch. 10 - Find io in the circuit shown in Fig. 10.85 using...Ch. 10 - Find vo for the circuit in Fig. 10.86, assuming...Ch. 10 - Using Fig. 10.87, design a problem to help other...Ch. 10 - Using the superposition principle, find ix in the...Ch. 10 - Use the superposition principle to obtain vx in...Ch. 10 - Use superposition to find i(t) in the circuit of...Ch. 10 - Solve for vo(t) in the circuit of Fig. 10.91 using...Ch. 10 - Determine io in the circuit of Fig. 10.92, using...Ch. 10 - Find io in the circuit of Fig. 10.93 using...Ch. 10 - Using source transformation, find i in the circuit...Ch. 10 - Using Fig. 10.95, design a problem to help other...Ch. 10 - Use source transformation to find Io in the...Ch. 10 - Use the concept of source transformation to find...Ch. 10 - Rework Prob. 10.7 using source transformation. Use...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - For each of the circuits in Fig. 10.99, obtain...Ch. 10 - Using Fig. 10.100, design a problem to help other...Ch. 10 - For the circuit depicted in Fig. 10.101, find the...Ch. 10 - Calculate the output impedance of the circuit...Ch. 10 - Find the Thevenin equivalent of the circuit in...Ch. 10 - Using Thevenins theorem, find vo in the circuit of...Ch. 10 - Obtain the Norton equivalent of the circuit...Ch. 10 - For the circuit shown in Fig. 10.107, find the...Ch. 10 - Using Fig. 10.108, design a problem to help other...Ch. 10 - At terminals a-b, obtain Thevenin and Norton...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - Find the Thevenin equivalent at terminals ab in...Ch. 10 - For the integrator shown in Fig. 10.112, obtain...Ch. 10 - Using Fig. 10.113, design a problem to help other...Ch. 10 - Find vo in the op amp circuit of Fig. 10.114....Ch. 10 - Compute io(t) in the op amp circuit in Fig. 10.115...Ch. 10 - If the input impedance is defined as Zin = Vs/Is,...Ch. 10 - Evaluate the voltage gain Av = Vo/Vs in the op amp...Ch. 10 - In the op amp circuit of Fig. 10.118, find the...Ch. 10 - Determine Vo and Io in the op amp circuit of Fig....Ch. 10 - Compute the closed-loop gain Vo/Vs for the op amp...Ch. 10 - Determine vo(t) in the op amp circuit in Fig....Ch. 10 - For the op amp circuit in Fig. 10.122, obtain Vo....Ch. 10 - Obtain vo(t) for the op amp circuit in Fig. 10.123...Ch. 10 - Use PSpice or MultiSim to determine Vo in the...Ch. 10 - Solve Prob. 10.19 using PSpice or MultiSim. Obtain...Ch. 10 - Use PSpice or MultiSim to find vo(t) in the...Ch. 10 - Obtain Vo in the circuit of Fig. 10.126 using...Ch. 10 - Using Fig. 10.127, design a problem to help other...Ch. 10 - Use PSpice or MultiSim to find V1, V2, and V3 in...Ch. 10 - Determine V1, V2, and V3 in the circuit of Fig....Ch. 10 - Use PSpice or MultiSim to find vo and io in the...Ch. 10 - The op amp circuit in Fig. 10.131 is called an...Ch. 10 - Figure 10.132 shows a Wien-bridge network. Show...Ch. 10 - Consider the oscillator in Fig. 10.133. (a)...Ch. 10 - The oscillator circuit in Fig. 10.134 uses an...Ch. 10 - Figure 10.135 shows a Colpitts oscillator. Show...Ch. 10 - Design a Colpitts oscillator that will operate at...Ch. 10 - Figure 10.136 shows a Hartley oscillator. Show...Ch. 10 - Refer to the oscillator in Fig. 10.137. (a) Show...
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