Download circuit characteristic

Energy and Mass Balance for Circuit Analysis
This presentation is partially animated.
Click within the blue frame to access the control panel.
Only use the control panel (at the bottom of screen) to review
what you have seen.
When using your mouse, make sure you click only when it is
within the blue frame that surrounds each slide.
AInc.
Pre-presentation Self Assessment Activity
Your comfort level with your responses to the
following 4 question assessment tool should
indicate if the presentation that follows will
increase you knowledge base on the topic
outlined by the questions in this tool.
Pre-presentation Self Assessment Activity
-R2
0
I
-R2
(R5+R2)
-R5
I
0
-R5
(R1+R2+R3+R4)
1
V
0
2
= 0
(R6+R7+R5) I3
0
1. The circuit shown above has 2 voltage supplies.
2. This circuit shown above has 2 current sources.
yes
no
yes
no
Pre-presentation Self Assessment Activity
3. The circuit shown below has 2 voltage supplies.
4. This circuit shown below has 2 current sources.
yes
no
yes
no
(R2+R4)
-R2
0
0
0
I
-R2
(R5+R6 +R2)
-R6
0
0
I
0
-R6
(R7+R6)
0
0
I
3
0
0
0
0
0
0
0
1
0
0
1
I1
I0
1
2
I3
0
= V0
I4
V1
R
V
Circuit as energy balance statement
1
R
0
R
R
4
2
V2
3
V3
V4
Circuit as mass balance statement
I0
R
R
4
2
Circuit as mass and
energy balance statement
Post presentation assessment activity
V1
R
V
Circuit as energy balance statement
1
R
0
R
R
4
3
V3
V4
2
V2
Please click on a button
to make a selection.
Circuit as mass balance statement
I0
R
R
4
2
Circuit as mass and
energy balance statement
Post presentation assessment activity
Circuit as energy balance statement
V1
I
V
R
1
1
R
0
R
4
V4
R
2
V2
3
V3
I is the total current flow
1
around this single loop
circuit.
the energy use is the
sum of the “IR” drops.
V =
0
4
i
I R
1 i
This circuit is just an energy
balance statement!
“the sum of the voltage loses
equals the sum of the voltage
4
gains”
V =
V
0
i=1 i
V = V + V + V +V
0
1
2
3
4
The value of V0, represents an
energy gain in the circuit.
With the exception of V0, all of
the other voltage values in this
circuit represent energy loses in
the circuit.
Circuit as energy balance statement
I
V
1
1
R
0
R
R
4
I
V
R
R
1
Triple loop, single energy supply.
1
I
0
4
(R1 + R2 + R3 +R4)(I1) = V0
2
3
R
R
Compact energy balance
statements for circuits.
Single loop, single energy supply.
R
I
2
2
R
3
R
6
R
5
7
3
-R2
0
I
-R2
(R5+R2)
-R5
I
0
-R5
(R1+R2+R3+R4)
1
V
0
2
= 0
(R6+R7+R5) I3
0
Circuit as energy balance statement
I
V
1
1
R
0
R
R
4
I
V
R
R
1
Triple loop, double energy supply.
1
I
0
4
(R1 + R2 + R3 +R4)(I1) = V0
2
3
R
R
Compact energy balance
statements for circuits.
Single loop, single energy supply.
R
I
2
2
3
R
3
R
6
R
5
V
7
1
-R2
0
I
-R2
(R5+R2)
-R5
I
0
-R5
(R1+R2+R3+R4)
1
V
0
2
= -V1
(R6+R7+R5) I3
+V
1
Circuit as energy balance statement
I
V
1
1
R
0
R
R
4
I
V
R
R
1
Triple loop, double energy supply.
1
I
0
4
(R1 + R2 + R3 +R4)(I1) = V0
2
3
R
R
Compact energy balance
statements for circuits.
Single loop, single energy supply.
R
3
I
2
R
2
V
3
R
6
R
5
7
1
-R2
0
I
-R2
(R5+R2)
-R5
I
0
-R5
(R1+R2+R3+R4)
1
2
(R6+R7+R5) I3
V -V
0 1
= +V1
0
Circuit as mass balance statement
Compact mass balance
statements for circuits.
Single current source.
I 0 is not entering the node
I0
0=
(A node is like the hotel
California, you can check in
but you can not check out!)
1
I
i
0 = -I 0 +I1
I is entering the node.
1
+I 0 = + I 1
Two current sources.
I
I0
1
R
4
R
2
Circuit as mass balance statement
Compact mass balance
statements for circuits.
Single current source.
I4
I0
I 0 is not entering the node
0=
(A node is like the hotel
California, you can check in
but you can not check out!)
+1
I1
0
I3
0 +1
=
I0
1
R
4
R
2
+I 0 = + I 1
Two current sources.
I 3 is entering the node
I4
I
i
0 = -I 0 +I1
I is entering the node.
1
I0
R
I
1
I
0 = + I 3 - I4
5
2
R
I
6
I is not entering the node.
4
3
I4
R
7
+I 4 = + I 3
Circuit as mass balance statement
Compact mass balance
statements for circuits.
Single current source.
I5
I0
I 0 is not entering the node
0=
(A node is like the hotel
California, you can check in
but you can not check out!)
1
0
0
-1
I1
I3
=
I0
1
R
4
R
2
+I 0 = + I 1
Two current sources.
I 3 is entering the node
I5
I
i
0 = -I 0 +I1
I is entering the node.
1
I0
R
I
1
I
0 = +I 3 +I5
5
2
R
I
6
I is entering the node.
5
3
I5
R
7
+I 5 = - I
3
Circuit as mass and energy balance statement
energy balance statement
(R2+R4)
-R2
0
I
-R2
(R5+R6 +R2)
-R6
I
0
-R6
(R7+R6)
I
mass balance statement
R
I
I0
1
R
4
R
5
R
I 6
2
2
V0
I
3
R
I4
7
1
2
3
0
= V0
0
Circuit as mass and energy balance statement
energy balance statement
(R2+R4)
-R2
0
I
-R2
(R5+R6 +R2)
-R6
I
0
-R6
(R7+R6)
I
mass balance statement
1
0
0
1
I1
I3
=
I0
I4
R
I
R
I
6
3
I
2
1
I0
R
R
4
5
2
V0
R
I4
7
1
2
3
0
= V0
0
Circuit as mass and energy balance statement
energy balance statement
(R2+R4)
-R2
0
0
0
I
-R2
(R5+R6 +R2)
-R6
0
0
I
0
-R6
(R7+R6)
0
0
I
3
0
0
0
0
0
0
0
1
0
0
1
I1
I0
mass balance statement
R
5
R
I0
I
1
R
4
I
R
6
2
2
V0
1
2
I3
0
= V0
I4
Note:
I
I 1 is the same variable as I 1
3
R
I4
7
I 3 is the same variable as I 3
Post-presentation Self Assessment Activity
-R2
0
I
-R2
(R5+R2)
-R5
I
0
-R5
(R1+R2+R3+R4)
1
V
0
2
= 0
(R6+R7+R5) I3
0
1. The circuit shown above has 2 voltage supplies.
2. This circuit shown above has 2 current sources.
yes
no
yes
no
Post-presentation Self Assessment Activity
3. The circuit shown below has 2 voltage supplies.
4. This circuit shown below has 2 current sources.
yes
no
yes
no
(R2+R4)
-R2
0
0
0
I
-R2
(R5+R6 +R2)
-R6
0
0
I
0
-R6
(R7+R6)
0
0
I
3
0
0
0
0
0
0
0
1
0
0
1
I1
I0
1
2
I3
0
= V0
I4
End of Presentation
AInc.