ALL 19 CHAPTERS COVERED
SOLUTIONS MANUAL
,Part One - DC Circuits
1) Basic Concepts
2) Basic Laws
3) Methods of Analysis
4) Circuit Theorems
5) Operational Amplifiers
6) Capacitors and Inductors
7) First-Order Circuits
8) Second-Order Circuits
Part Two - AC Circuits
9) Sinusoids and Phasors
10) Sinusoidal Steady-State Analysis
11) AC Power Analysis
12) Three-Phase Circuits
13) Magnetically Coupled Circuits
14) Frequency Response
Part Three - Advanced Circuit Analysis
15) Introduction to the Laplace Transform
16) Applications of the Laplace Transform
17) The Fourier Series
18) Fourier Transform
19) Two-Port Networks
,Chapter 1, Problem 1
How many coulombs are represented by these amounts of electrons:
(a) 6.482 18
(b) 1.24 10
17
10 20
(d) 1.628 10
19
(c) 2.46 10
Chapter 1, Solution 1
17 -19
(a) q = 6.482x10 x [-1.602x10 C] = -0.10384 C (b)
18 -19
q = 1. 24x10 x [-1.602x10 C] = -0.19865 C (c) q =
19 -19
2.46x10 x [-1.602x10 C] = -3.941 C
20 -19
(d) q = 1.628x10 x [-1.602x10 C] = -26.08 C
Chapter 1, Problem 2.
Determine the current flowing through an element if the charge flow is given by
(a) q t 3t 8 mC
2
(b) q t ( 8t 4t-2) C
-t 2t
(c) q t 3e 5e nC
(d) q t 10sin 120 t pC
4t
(e) q t 20e cos 50t C
Chapter 1, Solution 2
(a) i = dq/dt = 3 mA
(b) i = dq/dt = (16t + 4) A
-t -2t
(c) i = dq/dt = (-3e + 10e ) nA
(d) i=dq/dt = 1200 cos120 t pA
(e) i =dq/dt = e 4t (80 cos50t 1000 sin 50t) A
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 3.
Find the charge q(t) flowing through a device if the current is: (a)
i t 3A, q 0 1C
(b) i (t ) (2t 5)mA, q(0) 0
(c) i (t ) 20 cos(10t / 6) A, q(0) 2 C
30t
(d) i t 10e sin 40tA, q(0) 0
Chapter 1, Solution 3
(a) q(t) i(t)dt q(0) (3t 1) C
2
(b) q(t) (2t s) dt q(v) (t 5t) mC
(c)
q(t) 20 cos 10t /6 q(0) (2 sin(10t / 6) 1) C
-30t
10e
-30t ( 30 sin 40t - 40 cos t)
(d) q(t) 10e sin 40t q(0)
900 1600
-30t
e (0.16cos40 t 0.12 sin 40t) C
Chapter 1, Problem 4.
A current of 3.2 A flows through a conductor. Calculate how much charge passes through any
cross-section of the conductor in 20 seconds.
Chapter 1, Solution 4
q = it = 3.2 x 20 = 64 C
Chapter 1, Problem 5.
Determine the total charge transferred over the time interval of 0 t 10s when
1
i (t) t A.
2
Chapter 1, Solution 5
10
1 tdt t 2 10
q idt 25 C
0 2 4 0
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 6.
The charge entering a certain element is shown in Fig. 1.23. Find the current at:
(a) t = 1 ms (b) t = 6 ms (c) t = 10 ms
Figure 1.23
Chapter 1, Solution 6
dq 80
(a) At t = 1ms, i 40 A
dt 2
dq
(b) At t = 6ms, i 0A
dt
dq 80
(c) At t = 10ms, i –20 A
dt 4
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 7.
The charge flowing in a wire is plotted in Fig. 1.24. Sketch the corresponding current.
Figure 1.24
Chapter 1, Solution 7
⎡25A, 0 t 2
dq ⎢
i - 25A, 2 t 6
dt ⎢
6 t 8
⎢⎣ 25A,
which is sketched below:
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 8.
The current flowing past a point in a device is shown in Fig. 1.25. Calculate the total
charge through the point.
Figure 1.25
Chapter 1, Solution 8
10 1
q
idt
2
10 1 15 μC
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 9.
The current through an element is shown in Fig. 1.26. Determine the total charge that
passed through the element at:
(a) t = 1 s (b) t = 3 s (c) t = 5 s
Figure 1.26
Chapter 1, Solution 9
1
(a) q idt 10 dt 10 C
0
3 ⎛ ⎞
5 1
q idt 10 1 ⎜10 ⎟ 5 1
(b) 0
⎝ 2 ⎠
15 7.5 5 22.5C
5
(c)
q idt 10 10 10 30 C
0
Chapter 1, Problem 10.
A lightning bolt with 8 kA strikes an object for 15 s. How much charge is deposited on
the object?
Chapter 1, Solution 10
3 -6
q = it = 8x10 x15x10 = 120 mC
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 11.
A rechargeable flashlight battery is capable of delivering 85 mA for about 12 h. How
much charge can it release at that rate? If its terminals voltage is 1.2 V, how much
energy can the battery deliver?
Chapter 1, Solution 11
-3
q= it = 85 x10 x 12 x 60 x 60 = 3,672 C E =
pt = ivt = qv = 3672 x1.2 = 4406.4 J
Chapter 1, Problem 12.
If the current flowing through an element is given by
⎧ 3tA, 0 t 6s
⎪ 18A, 6 t 10s
⎪
i t
⎪-12 A, 10 t 15s
⎩ ⎪ 0, t 15s
Plot the charge stored in the element over 0 < t < 20s.
Chapter 1, Solution 12
For 0 < t < 6s, assuming q(0) = 0,
t t
q( t ) idt q(0) 3tdt 0 1.5t 2
0 0
2
At t=6, q(6) = 1.5(6) = 54
For 6 < t < 10s,
t t
q( t ) idt q( 6) 18dt 54 18t 54
6 6
At t=10, q(10) = 180 – 54 = 126
For 10<t<15s,
t t
q( t ) idt q(10) ( 12)dt 126 12t 246
10 10
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
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SOLUTIONS MANUAL
,Part One - DC Circuits
1) Basic Concepts
2) Basic Laws
3) Methods of Analysis
4) Circuit Theorems
5) Operational Amplifiers
6) Capacitors and Inductors
7) First-Order Circuits
8) Second-Order Circuits
Part Two - AC Circuits
9) Sinusoids and Phasors
10) Sinusoidal Steady-State Analysis
11) AC Power Analysis
12) Three-Phase Circuits
13) Magnetically Coupled Circuits
14) Frequency Response
Part Three - Advanced Circuit Analysis
15) Introduction to the Laplace Transform
16) Applications of the Laplace Transform
17) The Fourier Series
18) Fourier Transform
19) Two-Port Networks
,Chapter 1, Problem 1
How many coulombs are represented by these amounts of electrons:
(a) 6.482 18
(b) 1.24 10
17
10 20
(d) 1.628 10
19
(c) 2.46 10
Chapter 1, Solution 1
17 -19
(a) q = 6.482x10 x [-1.602x10 C] = -0.10384 C (b)
18 -19
q = 1. 24x10 x [-1.602x10 C] = -0.19865 C (c) q =
19 -19
2.46x10 x [-1.602x10 C] = -3.941 C
20 -19
(d) q = 1.628x10 x [-1.602x10 C] = -26.08 C
Chapter 1, Problem 2.
Determine the current flowing through an element if the charge flow is given by
(a) q t 3t 8 mC
2
(b) q t ( 8t 4t-2) C
-t 2t
(c) q t 3e 5e nC
(d) q t 10sin 120 t pC
4t
(e) q t 20e cos 50t C
Chapter 1, Solution 2
(a) i = dq/dt = 3 mA
(b) i = dq/dt = (16t + 4) A
-t -2t
(c) i = dq/dt = (-3e + 10e ) nA
(d) i=dq/dt = 1200 cos120 t pA
(e) i =dq/dt = e 4t (80 cos50t 1000 sin 50t) A
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 3.
Find the charge q(t) flowing through a device if the current is: (a)
i t 3A, q 0 1C
(b) i (t ) (2t 5)mA, q(0) 0
(c) i (t ) 20 cos(10t / 6) A, q(0) 2 C
30t
(d) i t 10e sin 40tA, q(0) 0
Chapter 1, Solution 3
(a) q(t) i(t)dt q(0) (3t 1) C
2
(b) q(t) (2t s) dt q(v) (t 5t) mC
(c)
q(t) 20 cos 10t /6 q(0) (2 sin(10t / 6) 1) C
-30t
10e
-30t ( 30 sin 40t - 40 cos t)
(d) q(t) 10e sin 40t q(0)
900 1600
-30t
e (0.16cos40 t 0.12 sin 40t) C
Chapter 1, Problem 4.
A current of 3.2 A flows through a conductor. Calculate how much charge passes through any
cross-section of the conductor in 20 seconds.
Chapter 1, Solution 4
q = it = 3.2 x 20 = 64 C
Chapter 1, Problem 5.
Determine the total charge transferred over the time interval of 0 t 10s when
1
i (t) t A.
2
Chapter 1, Solution 5
10
1 tdt t 2 10
q idt 25 C
0 2 4 0
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 6.
The charge entering a certain element is shown in Fig. 1.23. Find the current at:
(a) t = 1 ms (b) t = 6 ms (c) t = 10 ms
Figure 1.23
Chapter 1, Solution 6
dq 80
(a) At t = 1ms, i 40 A
dt 2
dq
(b) At t = 6ms, i 0A
dt
dq 80
(c) At t = 10ms, i –20 A
dt 4
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 7.
The charge flowing in a wire is plotted in Fig. 1.24. Sketch the corresponding current.
Figure 1.24
Chapter 1, Solution 7
⎡25A, 0 t 2
dq ⎢
i - 25A, 2 t 6
dt ⎢
6 t 8
⎢⎣ 25A,
which is sketched below:
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 8.
The current flowing past a point in a device is shown in Fig. 1.25. Calculate the total
charge through the point.
Figure 1.25
Chapter 1, Solution 8
10 1
q
idt
2
10 1 15 μC
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 9.
The current through an element is shown in Fig. 1.26. Determine the total charge that
passed through the element at:
(a) t = 1 s (b) t = 3 s (c) t = 5 s
Figure 1.26
Chapter 1, Solution 9
1
(a) q idt 10 dt 10 C
0
3 ⎛ ⎞
5 1
q idt 10 1 ⎜10 ⎟ 5 1
(b) 0
⎝ 2 ⎠
15 7.5 5 22.5C
5
(c)
q idt 10 10 10 30 C
0
Chapter 1, Problem 10.
A lightning bolt with 8 kA strikes an object for 15 s. How much charge is deposited on
the object?
Chapter 1, Solution 10
3 -6
q = it = 8x10 x15x10 = 120 mC
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
,Chapter 1, Problem 11.
A rechargeable flashlight battery is capable of delivering 85 mA for about 12 h. How
much charge can it release at that rate? If its terminals voltage is 1.2 V, how much
energy can the battery deliver?
Chapter 1, Solution 11
-3
q= it = 85 x10 x 12 x 60 x 60 = 3,672 C E =
pt = ivt = qv = 3672 x1.2 = 4406.4 J
Chapter 1, Problem 12.
If the current flowing through an element is given by
⎧ 3tA, 0 t 6s
⎪ 18A, 6 t 10s
⎪
i t
⎪-12 A, 10 t 15s
⎩ ⎪ 0, t 15s
Plot the charge stored in the element over 0 < t < 20s.
Chapter 1, Solution 12
For 0 < t < 6s, assuming q(0) = 0,
t t
q( t ) idt q(0) 3tdt 0 1.5t 2
0 0
2
At t=6, q(6) = 1.5(6) = 54
For 6 < t < 10s,
t t
q( t ) idt q( 6) 18dt 54 18t 54
6 6
At t=10, q(10) = 180 – 54 = 126
For 10<t<15s,
t t
q( t ) idt q(10) ( 12)dt 126 12t 246
10 10
PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part
of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior
written permission of the publisher, or used beyond the limited distribution to teachers and educators
permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual,
you are using it without permission.
, THOSE WERE PREVIEW PAGES
TO DOWNLOAD THE FULL PDF
CLICK ON THE L.I.N.K
ON THE NEXT PAGE
