Superposition
Principle of "Superposition"
When a linear circuit is excited by more than one independent source of energy, the total response is the sum of the responses to each source acting individually.
To find the response due to each indepen
Wheatstone Bridge
ECE 201 Circuit Theory I
1
Analysis
Identify the currents
ECE 201 Circuit Theory I
2
Consider the bridge at "balance", ig=0
1 i 2 i i3 R3 1 R1 i
i3 ix ix Rx i2 R2
ECE 201 Circuit Theory I
3
Some Algebra
i1 R3 i1 R1 R3 R
Voltage Divider Circuit
Developing more than one voltage level from a single voltage supply
ECE 201 Circuit Theory I
1
Identify the current and Apply KVL
vS i v1 v2 iR1 iR2 vS R1 R2 iR1 iR2 vS vS R1 R1 R2 R2 R1 R2
2
i ( R1 R2 )
ECE 201 Circuit
Current Divider Circuit
Split (divide) a current into two or more currents
ECE 201 Circuit Theory I
1
Identify the Voltage and Apply Ohm's Law
v i1 R1 i1 i2 is is
i2 R2 R2
R1 R2 is R1 R2
R1 R2 R1 R1 R2
ECE 201 Circuit Theory I 2
Node-Voltage Method
Identify the nodes
R1 1 Ohm R3 2 Ohm
Vbattery 10 V
R2 5 Ohm
R4 10 Ohm
I 2A
There are 3 "essential" nodes. Node 0 is the "ground" or "reference" node where the voltage is equal to zero.
Therefore there will be 2, or (ne