Circuits & Electronics P2

6.002 Fall 2000 Lecture
1
2
6.002
CIRCUITS
AND
ELECTRONICS
Basic Circuit Analysis Method
(KVL and KCL method)
6.002 Fall 2000 Lecture
2
2
0=
∂
∂
t
B
φ
0=
∂
∂
t
q
Outside elements
Inside elements
Allows us to create the lumped circuit
abstraction
wires
resistors
sources
Review

Lumped Matter Discipline LMD:
Constraints we impose on ourselves to simplify
our analysis
6.002 Fall 2000 Lecture
3
2
LMD allows us to create the
lumped circuit abstraction
Lumped circuit element
+
-
v
i
power consumed by element =
vi
Review
6.002 Fall 2000 Lecture
4
2
KVL:
loop
KCL:
node
0=
∑
j
j
ν
0=
∑

j
j
i
Review
Review
Maxwell’s equations simplify to
algebraic KVL and KCL under LMD!
6.002 Fall 2000 Lecture
5
2
KVL
0=++
bcabca
vvv
0=++
badaca
iii
KCL
DEMO
1
R
2
R
4
R
5
R
3
R
a

b
d
c
+
–
Review
6.002 Fall 2000 Lecture
6
2
Method 1:
Basic KVL, KCL method of
Circuit analysis
Goal: Find all element v’s and i’s
write element v-i relationships
(from lumped circuit abstraction)
write KCL for all nodes
write KVL for all loops
1.
2.
3.
lots of unknowns
lots of equations
lots of fun
solve
6.002 Fall 2000 Lecture
7
2
Method 1:
Basic KVL, KCL method of
Circuit analysis

For R,
For voltage source,
For current source,
Element Relationships
IRV =
0
VV =
0
II =
3 lumped circuit elements
R
0
V
o
I
+ –
J