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 × 1017 (b) 1.24 × 1018
(c) 2.46 × 1019 (d) 1.628 × 10 20
Chapter 1, Solution 1
(a) q = 6.482x1017 x [-1.602x10-19 C] = -0.10384 C
(b) q = 1. 24x1018 x [-1.602x10-19 C] = -0.19865 C
(c) q = 2.46x1019 x [-1.602x10-19 C] = -3.941 C
(d) q = 1.628x1020 x [-1.602x10-19 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
(b) q(t ) = ( 8t 2 + 4t-2) C
( )
(c) q (t ) = 3e -t − 5e −2 t nC
(d) q(t ) = 10 sin 120π t pC
(e) q(t ) = 20e −4 t cos 50t μC
Chapter 1, Solution 2
(a) i = dq/dt = 3 mA
(b) i = dq/dt = (16t + 4) A
(c) i = dq/dt = (-3e-t + 10e-2t) nA
(d) i=dq/dt = 1200π cos 120π t pA
(e) i =dq/dt = − e −4t (80 cos 50 t + 1000 sin 50 t ) μ 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 + π / 6) μA, q(0) = 2 μ C
(d) i (t ) = 10e −30t sin 40tA, q(0) = 0
Chapter 1, Solution 3
(a) q(t) = ∫ i(t)dt + q(0) = (3t + 1) C
(b) q(t) = ∫ (2t + s) dt + q(v) = (t 2 + 5t) mC
(c) q(t) = ∫ 20 cos (10t + π / 6 ) + q(0) = (2sin(10t + π / 6) + 1) μ C
10e -30t
q(t) = ∫ 10e -30t sin 40t + q(0) = ( −30 sin 40t - 40 cos t)
(d) 900 + 1600
= − e - 30t (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 t 2 10
q = ∫ idt = ∫ tdt = = 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.
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 × 1017 (b) 1.24 × 1018
(c) 2.46 × 1019 (d) 1.628 × 10 20
Chapter 1, Solution 1
(a) q = 6.482x1017 x [-1.602x10-19 C] = -0.10384 C
(b) q = 1. 24x1018 x [-1.602x10-19 C] = -0.19865 C
(c) q = 2.46x1019 x [-1.602x10-19 C] = -3.941 C
(d) q = 1.628x1020 x [-1.602x10-19 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
(b) q(t ) = ( 8t 2 + 4t-2) C
( )
(c) q (t ) = 3e -t − 5e −2 t nC
(d) q(t ) = 10 sin 120π t pC
(e) q(t ) = 20e −4 t cos 50t μC
Chapter 1, Solution 2
(a) i = dq/dt = 3 mA
(b) i = dq/dt = (16t + 4) A
(c) i = dq/dt = (-3e-t + 10e-2t) nA
(d) i=dq/dt = 1200π cos 120π t pA
(e) i =dq/dt = − e −4t (80 cos 50 t + 1000 sin 50 t ) μ 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 + π / 6) μA, q(0) = 2 μ C
(d) i (t ) = 10e −30t sin 40tA, q(0) = 0
Chapter 1, Solution 3
(a) q(t) = ∫ i(t)dt + q(0) = (3t + 1) C
(b) q(t) = ∫ (2t + s) dt + q(v) = (t 2 + 5t) mC
(c) q(t) = ∫ 20 cos (10t + π / 6 ) + q(0) = (2sin(10t + π / 6) + 1) μ C
10e -30t
q(t) = ∫ 10e -30t sin 40t + q(0) = ( −30 sin 40t - 40 cos t)
(d) 900 + 1600
= − e - 30t (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 t 2 10
q = ∫ idt = ∫ tdt = = 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.
