, A List of Tables
Table No Title Page No.
1.1 The International System of Units (SI) 9
1.2 Derived Units in SI 9
1.3 Standardized Prefixes to Signify Powers of 10 9
1.4 Interpretation of Reference Directions in Fig. 1.5 13
2.1 Physiological Reactions to Current Levels in Humans 47
3.1 Summary of Resistance Equations for the Defroster Grid 75
4.1 Terms for Describing Circuits 91
4.2 PSpice Sensitivity Analysis Results 128
6.1 Terminal Equations for Ideal Inductors and Capacitors 203
6.2 Equations for Series- and Parallel-Connected Inductors and Capacitors 203
7.1 Value of e~t/T for t Equal to Integral Multiples of T 217
8.1 Natural Response Parameters of the Parallel RLC Circuit 269
8.2 The Response of a Second-Order Circuit is Overdamped, Underdamped, or Critically Damped 297
8.3 In Determining the Natural Response of a Second-Order Circuit, We First Determine Whether
it is Over-, Under-, or Critically Damped, and Then We Solve the Appropriate Equations 297
8.4 In Determining the Step Response of a Second-Order Circuit, We Apply the Appropriate
Equations Depending on the Damping 298
9.1 Impedance and Reactance Values 320
9.2 Admittance and Susceptancc Values 324
9.3 Impedance and Related Values 347
10.1 Annual Energy Requirements of Electric Household Appliances 367
10.2 Three Power Quantities and Their Units 370
12.1 An Abbreviated List of Laplace Transform Pairs 437
12.2 An Abbreviated List of Operational Transforms 442
12.3 Four Useful Transform Pairs 453
13.1 Summary of the ^-Domain Equivalent Circuits 470
13.2 Numerical Values of v()(t) 494
14.1 Input and Output Voltage Magnitudes for Several Frequencies 529
15.1 Normalized (so that coc = 1 rad/s) Butterworth Polynomials up to the Eighth Order 579
17.1 Fourier Transforms of Elementary Functions 655
17.2 Operational Transforms 660
18.1 Parameter Conversion Table 684
18.2 Terminated Two-Port Equations 690
Greek Alphabet
\ a Alpha I i Iota P p Rho
B /3 Beta K K Kappa 2 (7 Sigma
r y Gamma A A Lambda T T Tau
A s Delta M V Mu Y V Up si Ion
E e Epsilon N V Nu $ 4> Phi
Z t Zeta 2 $ Xi X X Chi
H V Eta 0 o Omicron * </' Psi
O 0 Theta n 77 Pi XI CO Omega
, An Abbreviated List of Laplace Transform Pairs
fit) (t> 0") Type F{s)
m (impulse) 1
]
</(/) (step)
s
1
t (ramp) i
-at 1
C (exponential)
.v + a
CO
(sine)
sin cot 2 i 2
,v +io
(cosine)
cos lot S" + IO ~
ft>~"1
1
it (damped ramp)
(.v + a) 2
CO
<?-"fsin cot (damped sine)
(s + a)2 + io2
-at s +a
(damped cosine)
(s + a)2 + io2
An Abbreviated List of Operational Transforms
/(/) F(s)
Kf(t) KF(s)
ft(t) + / 2 ( 0 - h(t) + • • • F,(.v) + F2(.v) - F3(.v) +
dfiO
sF(s) - /(0-)
dt
s2F(s) - s/(0") -
rf,,_1/(0")
71-1
rf/(0 , ,rf/(0') ,rff 0")
2 ; -3 y ;
—f^- v" F(.v) - .v"' /(()-) - .v"- , - j"' \ ^-V^
F(s)
f(x) dx
/o s
/ ( / - «)«(r - fl),A>0 t>-"vF(,v)
^"7(0 F(Jf + a)
/(«/), A > 0 -F(-
//(/)
d" F(s)
/'7(0
ds"
m F(«) rf/<
t
, ELECTRIC CIRCUITS
NINTH EDITION
Table No Title Page No.
1.1 The International System of Units (SI) 9
1.2 Derived Units in SI 9
1.3 Standardized Prefixes to Signify Powers of 10 9
1.4 Interpretation of Reference Directions in Fig. 1.5 13
2.1 Physiological Reactions to Current Levels in Humans 47
3.1 Summary of Resistance Equations for the Defroster Grid 75
4.1 Terms for Describing Circuits 91
4.2 PSpice Sensitivity Analysis Results 128
6.1 Terminal Equations for Ideal Inductors and Capacitors 203
6.2 Equations for Series- and Parallel-Connected Inductors and Capacitors 203
7.1 Value of e~t/T for t Equal to Integral Multiples of T 217
8.1 Natural Response Parameters of the Parallel RLC Circuit 269
8.2 The Response of a Second-Order Circuit is Overdamped, Underdamped, or Critically Damped 297
8.3 In Determining the Natural Response of a Second-Order Circuit, We First Determine Whether
it is Over-, Under-, or Critically Damped, and Then We Solve the Appropriate Equations 297
8.4 In Determining the Step Response of a Second-Order Circuit, We Apply the Appropriate
Equations Depending on the Damping 298
9.1 Impedance and Reactance Values 320
9.2 Admittance and Susceptancc Values 324
9.3 Impedance and Related Values 347
10.1 Annual Energy Requirements of Electric Household Appliances 367
10.2 Three Power Quantities and Their Units 370
12.1 An Abbreviated List of Laplace Transform Pairs 437
12.2 An Abbreviated List of Operational Transforms 442
12.3 Four Useful Transform Pairs 453
13.1 Summary of the ^-Domain Equivalent Circuits 470
13.2 Numerical Values of v()(t) 494
14.1 Input and Output Voltage Magnitudes for Several Frequencies 529
15.1 Normalized (so that coc = 1 rad/s) Butterworth Polynomials up to the Eighth Order 579
17.1 Fourier Transforms of Elementary Functions 655
17.2 Operational Transforms 660
18.1 Parameter Conversion Table 684
18.2 Terminated Two-Port Equations 690
Greek Alphabet
\ a Alpha I i Iota P p Rho
B /3 Beta K K Kappa 2 (7 Sigma
r y Gamma A A Lambda T T Tau
A s Delta M V Mu Y V Up si Ion
E e Epsilon N V Nu $ 4> Phi
Z t Zeta 2 $ Xi X X Chi
H V Eta 0 o Omicron * </' Psi
O 0 Theta n 77 Pi XI CO Omega
, An Abbreviated List of Laplace Transform Pairs
fit) (t> 0") Type F{s)
m (impulse) 1
]
</(/) (step)
s
1
t (ramp) i
-at 1
C (exponential)
.v + a
CO
(sine)
sin cot 2 i 2
,v +io
(cosine)
cos lot S" + IO ~
ft>~"1
1
it (damped ramp)
(.v + a) 2
CO
<?-"fsin cot (damped sine)
(s + a)2 + io2
-at s +a
(damped cosine)
(s + a)2 + io2
An Abbreviated List of Operational Transforms
/(/) F(s)
Kf(t) KF(s)
ft(t) + / 2 ( 0 - h(t) + • • • F,(.v) + F2(.v) - F3(.v) +
dfiO
sF(s) - /(0-)
dt
s2F(s) - s/(0") -
rf,,_1/(0")
71-1
rf/(0 , ,rf/(0') ,rff 0")
2 ; -3 y ;
—f^- v" F(.v) - .v"' /(()-) - .v"- , - j"' \ ^-V^
F(s)
f(x) dx
/o s
/ ( / - «)«(r - fl),A>0 t>-"vF(,v)
^"7(0 F(Jf + a)
/(«/), A > 0 -F(-
//(/)
d" F(s)
/'7(0
ds"
m F(«) rf/<
t
, ELECTRIC CIRCUITS
NINTH EDITION
