series resistive circuits let’s review!!!! current the flow of electrons in a conductive path. i...
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Series Resistive Circuits
Let’s Review!!!!
CurrentThe flow of electrons in a conductive path.
I is the symbol for current.
Current is measured in
Amperes or Amps.
A is the symbol for Amps.
Let’s Review!!!!
VoltageThe force that produces a current.
V and E are the symbols for voltage.
Voltage is measured in Volts.
V is the symbol for Volts.
Let’s Review!!!!
ResistanceThe opposition to the flow of electrons.
R is the symbol for resistance.
Resistance is measured in Ohms.
Ω is the abbreviation for Ohms.
Let’s Review!!!!
Ohm’s LawThe mathematical relationship between
Current, Voltage and Resistance.
RIV V = I R
I = V / RR = V / I
Series Circuits
A Series Circuit offers a single continuous path for current to flow.
VoltageSource
Load“R”
CurrentPath
Series Circuit
I_
+V R
Series Circuit
Current is the same everywhere in the circuit.
The Total Resistance is the sum of all the individual resistors.
The Sum of the Voltage Drops across each resistor is equal to the Source Voltage.
IT
_
+
VT R2
I1
I3
I2
R1
R3
IT = I1 = I2 = I3
VT = V1 + V2 + V3
RT = R1 + R2 + R3
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V
Find: RT
RT = R1 + R2
RT = 2Ω + 3Ω
RT = 5Ω
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V5Ω
Find: IT
IT =
IT = 10v / 5Ω
IT = 2A
IT = I1 = I2 = 2ARTIT
VT
Ohm’s LawVT / RT
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V5Ω 2A
In a series circuit
current is the same
throughout the circuit!!!
IT = I1 = I2
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V5Ω 2A2A2A
Find: V1
R1I1
V1
Ohm’s LawV1=I1 R1
V1= 2A 2Ω
V1= 4V
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V5Ω 2A2A2A 4V
R2I2
V2
Ohm’s LawFind: V2
V2= I2 R2
V2= 2A 3Ω
V2= 6V
Example #1
VT= 10v IT
_
+
I1
I2
R1=2Ω
R2 =3Ω
2A
2A 2A
Component R(Ω) I(A) V(V)
R1
R2
Total
2Ω3Ω
10V5Ω 2A2A2A 4V
6V
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v
Find: RT
RT = R1 + R2 + R3
RT = 1Ω + 4Ω + 5Ω
RT = 10Ω
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v10Ω
Find: IT
IT =
IT = 20v / 10Ω
IT = 2A
IT = I1 = I2 = I3 = 2ARTIT
VT
Ohm’s LawVT / RT
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v10Ω 2A
2A2A2A
Find: V1
R1I1
V1
Ohm’s LawV1=I1 R1
V1= 2A 1Ω
V1= 2V
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v10Ω 2A
2A2A2A 2v
Find: V2
R2I2
V2
Ohm’s LawV2= I2 R2
V2= 2A 4Ω
V2= 8V
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v10Ω 2A
2A2A2A 2v
8v
Find: V3
R3I3
V3
Ohm’s LawV3=I3 R3
V3= 2A 5Ω
V3= 10V
Example
VT= 20v R2=4ΩIT
_
+
I1
I3
I2
R1=1Ω
R3 =5Ω
Component R(Ω) I(A) V(V)
R1
R2
R3
Total
1Ω4Ω5Ω
20v10Ω 2A
2A2A2A 2v
8v10v
Example
VT IT=4mA
_
+
I1
I2
R1=8kΩ
R2 =2kΩ
2A
2A 2A
Component R(Ω) I(mA) V(V)
R1
R2
Total
8kΩ2kΩ
4mA
IT = I1 = I2
Example
VT IT=4mA
_
+
I1
I2
R1=8kΩ
R2 =2kΩ
2A
2A 2A
Component R(Ω) I(mA) V(V)
R1
R2
Total
8kΩ2kΩ
4mA
4mA4mA
10kΩ
32v8v40v
Let’s Practice
VT= 100V IT=10mA
_
+
I1
I2
R1= 4kΩ
R2 = ?
Find: I1 I2 RT R2 V1 V2
Draw this circuit on a sheet of paper.