This chapter presents the following content: Sinusoidal steady-state analysis, Ohm’s law, Kirchhoff’s laws, impedance combinations, branch current method, node voltage method, mesh current method, superposition theorem, source transformation, Op Amp AC circuits.
Trang 1Electric Circuit Theory
Sinusoidal Steady-State Analysis
Nguyễn Công Phương
Trang 2I Basic Elements Of Electrical Circuits
II Basic Laws
III Electrical Circuit Analysis
IV Circuit Theorems
V Active Circuits
VI Capacitor And Inductor
VII First Order Circuits
VIII.Second Order Circuits
IX Sinusoid and Phasors
X Sinusoidal Steady State Analysis
XI AC Power Analysis
XII Three-phase Circuits
XIII.Magnetically Coupled Circuits
XIV.Frequency Response
XV The Laplace Transform
XVI.Two-port Networks
Trang 3Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 4Sinusoidal Steady-State Analysis (1)
+ –
0.35 1
o0.35sin(5 45 ) A
Trang 5Sinusoidal Steady-State Analysis (2)
1 Transform to phasor
domain
2 Solve the problem using
dc circuit analysis
3 Transform the resulting
phasor to the
time-domain.
+ –
10sin5t V 20Ω 6H 0.02F
i
+ –
0.35 1
Trang 6Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 12Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 15Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 17Impedance Combinations (2)
a b
21
Trang 19Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 20Branch Current Method (1)
Trang 21Branch Current Method (2)
Z 1
Z 2
Z 3 J
Trang 22Branch Current Method (3)
–
+ –
Trang 23Branch Current Method (4)
–
+ –
Trang 24Branch Current Method (5)
–
+ –
Trang 25Branch Current Method (6)
–
+ –
Trang 26Branch Current Method (7)
–
+ –
Trang 27Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 28Node Voltage Method (1)
1 the reference node
2 the sum of the reciprocals
of all impedances
connected to each node
3 the negative sum of the
reciprocals of the
impedances of all branches
joining each pair of node
4 current source(s) for each
Trang 29Node Voltage Method (2)
Z 1
Z 2
Z 3 J
Trang 30Node Voltage Method (3)
–
+ –
15o
5 j 10 19.57 39.50 V
1.98 0.98 2.20 20
j
j j
o 2
o 3
4.09sin( 75.2 ) A 2.20sin( 26.4 ) A 6.16sin( 39.6 ) A
Trang 31Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 32Mesh Current Method (1)
Trang 33Mesh Current Method (2)
Z 1
Z 2
Z 3 J
Trang 34Mesh Current Method (3)
–
+ –
A B
j j
o 2
o 3
4.09sin( 75.2 ) A 2.20sin( 26.4 ) A 6.16sin( 39.6 ) A
Trang 35Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 39R 1 R 2
L
C j
Trang 44
1 3 1
Trang 46R e
e i
Trang 47Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 49 45o A
Trang 502 13
7.68 5.76 (1.32 5.51)
10 7.68 5.76 6.09 1.16
eq
j j
Trang 54Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits
Trang 55Thévenin & Norton Equivalent Circuits (1)
+ –
V
I
Z L
+ –
V
I
Z L
J eq Z eq
Trang 56Thévenin & Norton Equivalent Circuits (2)
E eq = Z eq J eq
eq eq
V
I
Z L
+ –
Trang 57Thévenin & Norton Equivalent Circuits (3)
Z Z Z
Trang 59E I
Trang 60Thévenin & Norton Equivalent Circuits (6)
j
j j
E I
Z Z
Trang 61Thévenin & Norton Equivalent Circuits (7)
a b
j j
3
3
12.68 28.94 A
eq eq
Z Z
Trang 62Thévenin & Norton Equivalent Circuits (8)
Method 1
Trang 63Thévenin & Norton Equivalent Circuits (9)
sc
I
b a
a j
E Z J E Z v
Trang 64Thévenin & Norton Equivalent Circuits (10)
100
in
3 41
Trang 65Thévenin & Norton Equivalent Circuits (11)
Trang 67Thévenin & Norton Equivalent Circuits (13)
j j
Trang 68Thévenin & Norton Equivalent Circuits (14)
Trang 69Sinusoidal Steady-State Analysis
1 Sinusoidal Steady-State Analysis
2 Ohm’s Law
3 Kirchhoff’s Laws
4 Impedance Combinations
5 Branch Current Method
6 Node Voltage Method
7 Mesh Current Method
8 Superposition Theorem
9 Source Transformation
10 Thévenin & Norton Equivalent Circuits
11 Op Amp AC Circuits