EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119228226
Author: Toussaint
Publisher: YUZU
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Textbook Question
Chapter 3, Problem 3.2P
(a) Formulate node-voltage equations for the circuit in Figure P3-2. Arrange the results in matrix form
(b) Solve these equations for
(c) Use these results to find
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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 3 Solutions
EBK THE ANALYSIS AND DESIGN OF LINEAR C
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Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - Prob. 3.16PCh. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - For the circuit of figure P3-19 solve for iA,iB,...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - The circuit in Figure P3-21 seems to require two...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Use simple engineering intuition to find the input...Ch. 3 - In Figure P3-24 all of the resistors are 1k and...Ch. 3 - Use Figure P3-24 and MATLAB to solve the following...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Find vO for the block diagram shown in figure...Ch. 3 - Design a voltage-divider circuit that will realize...Ch. 3 - Design a current-divider circuit that will realize...Ch. 3 - Using a single resistor, design a circuit that...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Find the proportionality constant K=iO/vS for the...Ch. 3 - Find the proportionality constant K=vO/iS for the...Ch. 3 - Find the proportionality constant K=iO/iS for the...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K in Figure...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - (a) Use the superposition principle to find vO in...Ch. 3 - A linear circuit containing two sources drives a...Ch. 3 - A block diagram of a linear circuit is shown in...Ch. 3 - A certain linear circuit has four input voltages...Ch. 3 - When the current source is turned off in the...Ch. 3 - For the circuit in Figure P3—51, find the Thévenin...Ch. 3 - For the circuit in Figure P3—52, find the Thévenin...Ch. 3 - For the circuit of Figure P3—53, find the Thévenin...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin equivalent circuit seen by RL in...Ch. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - You need to determine the Thévenin equivalent...Ch. 3 - Find the Thévenin equivalent seen by RL in figure...Ch. 3 - The purpose of this problem is to use Thévenin...Ch. 3 - The circuit in Figure P3-62 was solved earlier...Ch. 3 - Assume that Figure P3-63 represents a model of the...Ch. 3 - The iv characteristic of the active circuit...Ch. 3 - You have successfully completed the first course...Ch. 3 - The Thévenin equivalent parameters of a practical...Ch. 3 - Use a sequence of source transformations to find...Ch. 3 - The circuit in Figure P3-68 provides power to a...Ch. 3 - A nonlinear resistor is connected across a...Ch. 3 - Prob. 3.71PCh. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - For the circuit of Figure P3-75, find the value of...Ch. 3 - For the circuit of Figure P3-76, find the value of...Ch. 3 - The resistance R in Figure P3-77 is adjusted until...Ch. 3 - When a 5-k resistor is connected across a...Ch. 3 - Find the value of R in the circuit of Figure P3-79...Ch. 3 - For the circuit of Figure P3-80, find the value of...Ch. 3 - A 1-k load needs 10 mA to operate correctly....Ch. 3 - A practical source delivers 25 mA to a load. The...Ch. 3 - A 10-V source is shown in Figure P3-83 that is...Ch. 3 - (a)Select RL and design an interface circuit for...Ch. 3 - The source in Figure P3-85 has a 100-mA output...Ch. 3 - Figure P3-86 shows an interface circuit connecting...Ch. 3 - Prob. 3.87PCh. 3 - In this problem, you will design two interface...Ch. 3 - Two teams are competing to design the interface...Ch. 3 - The bridge-T attenuation pad shown in FigureP3-90...Ch. 3 - Design two interface circuits in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-93 so...Ch. 3 - It is claimed that both interface circuits in...Ch. 3 - Audio Speaker Resistance-Matching Network A...Ch. 3 - Interface Circuit Design Using no more than three...Ch. 3 - Battery Design A satellite requires a battery with...Ch. 3 - Design Interface Competition The output of a...Ch. 3 - Prob. 3.106IP
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