KCL_KVL_v4

KCL_KVL_v4 - Founda'ons
of
Circuit
Analysis:
...

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Unformatted text preview: Founda'ons
of
Circuit
Analysis:
 KVL
and
KCL
 DePiero
 EE
201
 Learning
Objec'ves
 •  Apply

Kirchhoff’s Laws to analyze simple electrical circuits and derive the basic circuit equa;ons. Kirchoff’s
Laws
Provide
Founda'on
 For
Circuit
Analysis
 •  Analogy:
Use
F
=
mA
or
Conserva'on
of
 Energy
for
analysis
purposes.
 ∑I = 0 •  Kirchoff’s
Current
Law
(KCL)
 k k –  ‘Sum
of
currents
into
a
node
equal
zero’
 –  ‘Sum
of
currents
into
a
node
must
equal
the
 € outgoing
currents’
 –  ‘Nodes
don’t
accumulate
charge’
 •  Kirchoff’s
Voltage
Law
(KVL)
 ∑V k k =0 –  ‘Sum
of
voltages
around
a
loop
equal
zero’
 € Kirchoff’s
Laws
Provide
Founda'on
 For
Circuit
Analysis
 •  KCL:
 ∑ I k =0 k –  Find
Ix
 € •  KCL
holds
for
‘Super
Node’
 –  Consider
finding
Iy
=
?
 –  Apply
KCL
at
super
node!
 –  Super
node
defini'on:

 •  A
por'on
of
a
circuit
 Kirchoff’s
Laws
Provide
Founda'on
 For
Circuit
Analysis
 •  KCL:
 ∑ I k =0 k –  Find
Ix
 € •  KCL
holds
for
‘Super
Node’
 –  Consider
finding
Iy
=
?
 –  Apply
KCL
at
super
node
 –  Iy
=
3A
 •  What
goes
in,
must
come
 out
of
a
(super)
node
 Define Super Node Kirchoff’s
Laws
Provide
Founda'on
 For
Circuit
Analysis
 •  KVL:
 ∑V k =0 k –  Find
V1,
V2
 –  Apply
KVL
to
each
mesh
 € to
form
2
equa'ons,
then
 solve
for
2
unknowns.
 For proper polari*es with KVL:
 1)
Traverse
mesh
in
either
direc'on.
 2)
Add
Vi
if
(+)
terminal
encountered
first,
subtract
if
(‐)
terminal
encountered
first.
 ...
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This note was uploaded on 10/24/2011 for the course EE 251 taught by Professor Arakaki during the Spring '08 term at Cal Poly.

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