Review
Review
Maxwell’s equations simplify to
algebraic KVL and KCL under LMD!
KVL:
∑ jν j = 0
k
u
.
o
le.c
loop otesa
N
9
m
1
o
r
f
f
o
w
4
e
i
e
v
g
e
a
r
P
P
KCL:
∑jij = 0
node
Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT
OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
6.002 Fall 2000
Lecture 2
Other Analysis Methods
Method 2— Apply element combination rules
I =?
Example
R1
V +
–
R3
R2
k
u
.
o
le.c
a
s
e
t
o
I
I om N
9
1
f
r
f
o
3
w
1
e
i
e
v
e
r
P V + PaRg1
V +
–
–
R2 R3
R2 + R3
R = R1 +
R
R2 R3
R2 + R3
V
I=
R
Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT
OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
6.002 Fall 2000
Lecture 2
Method 3—Node analysis
Particular application of KVL, KCL method
1. Select reference node ( ground)
from which voltages are measured.
2. Label voltages of remaining nodes
with respect to ground.
k
u
.
o
These are the primary unknowns.
le.c
a
s
e
t
o
N
9
m
1
o
f
r
KCL
for
all
but
the
ground
3. Write w
f
o
4
1 device laws and
esubstituting
i
e
v
g
node,
e
Pr
Pa
KVL.
4. Solve for node voltages.
5. Back solve for branch voltages and
currents (i.e., the secondary unknowns)
Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT
OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
6.002 Fall 2000
Lecture 2