The Analysis and Design of Linear Circuits
1
Seventh Edition
Introduction
1.1
Exercise Solutions
Exercise 11. Given the pattern in the statement 1 k = 1 kilohm = 1 103 ohms, ll in the blanks in
the following statements using the standard decimal prexes.
(

The Analysis and Design of Linear Circuits
14
14.1
Seventh Edition
Active Filter Design
Exercise Solutions
Exercise 141. Develop a second-order low-pass transfer function with a corner frequency of 50 rad/s, a
dc gain of 2, and a gain of 4 at the corner f

The Analysis and Design of Linear Circuits
12
12.1
Seventh Edition
Frequency Response
Exercise Solutions
Exercise 121. A transfer function has a passband gain of 25. At a particular frequency in its stopband,
the gain of the transfer function is only 0.00

The Analysis and Design of Linear Circuits
17
17.1
Seventh Edition
Two-Port Networks
Exercise Solutions
Exercise 171. Find the impedance parameters of the circuit in Figure 173.
Let port 2 have an open circuit so that I2 = 0. Solve for z11 and z21 .
z11 =

The Analysis and Design of Linear Circuits
16
16.1
Seventh Edition
AC Power Systems
Exercise Solutions
Exercise 161. Using the reference marks in Figure 161, calculate the average and reactive power for the
following voltages and currents.
(a). v(t) = 168

The Analysis and Design of Linear Circuits
10
10.1
Seventh Edition
s-Domain Circuit Analysis
Exercise Solutions
Exercise 101. Transform the circuit of Figure 107(a) into the s domain and solve for the voltage vC (t)
if vS (t) = VA et u(t) V and vC (0) = V

The Analysis and Design of Linear Circuits
13
13.1
Seventh Edition
Fourier Analysis
Exercise Solutions
Exercise 131. Find the Fourier coecients for the rectangular pulse wave in Figure 131.
Compute each coecient.
a0 =
an =
bn =
1
T0
2
T0
2
T0
T0 /2
f (t)d

The Analysis and Design of Linear Circuits
15
15.1
Seventh Edition
Mutual Inductance and Transformers
Exercise Solutions
Exercise 151. In Figure 154, i1 (t) = 20 cos(8000t) mA and i2 (t) = 0. Find v1 (t) and v2 (t).
From Figure 154, we have L1 = 10 mH, L2

The Analysis and Design of Linear Circuits
11
11.1
Seventh Edition
Network Functions
Exercise Solutions
Exercise 111. The network function for a circuit is
T (s) =
10s
s + 100
Find the zero-state response v2 (t) when the input waveform is v1 (t) = cos(50t

The Analysis and Design of Linear Circuits
7
7.1
Seventh Edition
First- and Second-Order Circuits
Exercise Solutions
Exercise 71. Find the time constant TC for circuit C3 in Figure 74.
For an RL parallel circuit, the time constant is the equivalent induct

The Analysis and Design of Linear Circuits
9
9.1
Seventh Edition
Laplace Transforms
Exercise Solutions
Exercise 91. Find the Laplace transform of v(t) = 7u(t) V.
Apply the denition of a Laplace transform.
7u(t)est dt
V (s) =
0
=
0
7est dt
7est
s
=
0
=
7
7

The Analysis and Design of Linear Circuits
8
8.1
Seventh Edition
Sinusoidal Steady-State Response
Exercise Solutions
Exercise 81. Convert the following sinusoids to phasors in polar and rectangular form:
(a). v(t) = 20 cos(150t 60 ) V
By inspection, in po

The Analysis and Design of Linear Circuits
3
3.1
Seventh Edition
Circuit Analysis Techniques
Exercise Solutions
Exercise 31. The reference node and node voltages in the bridge circuit of Figure 33 are vA = 5 V,
vB = 10 V, and vC = 3 V. Find the element vo

The Analysis and Design of Linear Circuits
2
2.1
Seventh Edition
Basic Circuit Analysis
Exercise Solutions
Exercise 21. A 6-V lantern battery powers a light bulb that draws 3 mA of current. What is the resistance
of the lamp? How much power does the lante

The Analysis and Design of Linear Circuits
6
6.1
Seventh Edition
Capacitance and Inductance
Exercise Solutions
Exercise 61. A 1-F capacitor has no voltage across it at t = 0. A current owing through the capacitor
is given as iC = 2u(t) 3u(t 2) + u(t 4)A.

The Analysis and Design of Linear Circuits
4
4.1
Seventh Edition
Active Circuits
Exercise Solutions
Exercise 41. Find the output vO in terms of the input vS in the circuit in Figure 45.
Apply Ohms law to compute the source current ix .
ix =
vS
RS + RP
App

The Analysis and Design of Linear Circuits
5
5.1
Seventh Edition
Signal Waveforms
Exercise Solutions
Exercise 51. Write an expression using unit step functions for the waveform in Figure 56.
The signal has a positive transition with a magnitude of 10 at t