Download Series Resistive Circuits

Series Resistive Circuits
Let’s Review!!!!
Current
The 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!!!!
Voltage
The 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!!!!
Resistance
The 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 Law
The mathematical relationship between
Current, Voltage and Resistance.
V
IR
V=IR
I =V/R
R=V/I
Series Circuits
A Series Circuit offers a single
continuous path for current to flow.
Voltage
Source
Current
Path
Load
“R”
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.
R1
_
VT
I1
I2
IT
+
I3
R3
IT = I 1 = I 2 = I 3
RT = R1 + R2 + R3
VT = V1 + V2 + V3
R2
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
2Ω
3Ω
I(A)
V(V)
2A
10V
Find: RT
RT = R1 + R2
RT = 2Ω + 3Ω
RT = 5Ω
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
2Ω
3Ω
5Ω
I(A)
V(V)
2A
10V
Find: IT
IT = VT / RT
IT = 10v / 5Ω
IT = 2A
IT = I1 = I2 = 2A
Ohm’s Law
VT
IT RT
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
2Ω
3Ω
5Ω
I(A)
V(V)
2A
10V
2A
In a series circuit
current is the same
throughout the circuit!!!
IT = I1 = I2
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
I(A)
V(V)
2Ω
3Ω
5Ω
2A
2A
2A
10V
2A
Find: V1
V1= I1  R1
V1= 2A  2Ω
V1= 4V
Ohm’s Law
V1
I1 R1
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
I(A)
V(V)
2Ω
3Ω
5Ω
2A
2A
2A
4V
2A
10V
Find: V2
V2= I2  R2
V2= 2A  3Ω
V2= 6V
Ohm’s Law
V2
I2 R2
R1=2Ω
Example #1
_
VT= 10v
+
I1
IT
I2
R2 =3Ω
Component
R1
R2 2A
Total2A
R(Ω)
I(A)
V(V)
2Ω
3Ω
5Ω
2A
2A
2A
4V
6V
10V
2A
R1=1Ω
Example
_
VT= 20v
+
Component
R1
R2
R3
Total
I1
IT
R(Ω)
I2
R2=4Ω
I3
R3 =5Ω
I(A)
V(V)
1Ω
4Ω
5Ω
20v
Find: RT
RT = R1 + R2 + R3
RT = 1Ω + 4Ω + 5Ω
RT = 10Ω
R1=1Ω
Example
_
VT= 20v
+
Component
R1
R2
I1
IT
R(Ω)
R3
1Ω
4Ω
5Ω
Total
10Ω
I2
R2=4Ω
I3
R3 =5Ω
I(A)
V(V)
20v
Find: IT
IT = VT / RT
IT = 20v / 10Ω
Ohm’s Law
IT = 2A
IT = I1 = I2 = I3 = 2A
VT
IT RT
R1=1Ω
Example
_
VT= 20v
+
I1
IT
I2
R2=4Ω
I3
R3 =5Ω
R(Ω)
I(A)
V(V)
R3
1Ω
4Ω
5Ω
Total
10Ω
2A
2A
2A
2A
20v
Component
R1
R2
Find: V1
V1= I1  R1
V1= 2A  1Ω
V1= 2V
Ohm’s Law
V1
I1 R1
R1=1Ω
Example
_
VT= 20v
+
I1
IT
I2
R2=4Ω
I3
R3 =5Ω
R(Ω)
I(A)
V(V)
Total
10Ω
2A
2A
2A
2A
2v
R3
1Ω
4Ω
5Ω
Component
R1
R2
20v
Find: V2
V2= I2  R2
V2= 2A  4Ω
V2= 8V
Ohm’s Law
V2
I2 R2
R1=1Ω
Example
_
VT= 20v
+
I1
IT
I2
R2=4Ω
I3
R3 =5Ω
R(Ω)
I(A)
V(V)
Total
10Ω
2A
2A
2A
2A
2v
8v
R3
1Ω
4Ω
5Ω
Component
R1
R2
20v
Find: V3
V3= I3  R3
V3= 2A  5Ω
V3= 10V
Ohm’s Law
V3
I3 R3
R1=1Ω
Example
_
VT= 20v
+
I1
IT
I2
R2=4Ω
I3
R3 =5Ω
R(Ω)
I(A)
V(V)
R3
1Ω
4Ω
5Ω
Total
10Ω
2A
2A
2A
2A
2v
8v
10v
20v
Component
R1
R2
R1=8kΩ
Example
_
VT
+
I1
IT=4mA
I2
R2 =2kΩ
Component
R1
R2 2A
Total2A
R(Ω)
I(mA)
8kΩ
2kΩ 2A
4mA
V(V)
IT = I1 = I2
R1=8kΩ
Example
_
VT
+
I1
IT=4mA
I2
R2 =2kΩ
Component R(Ω)
I(mA)
R1
4mA
8kΩ
R2 2A 2kΩ 2A 4mA
Total2A 10kΩ
4mA
V(V)
32v
8v
40v
Let’s Practice
R1= 4kΩ
_
VT= 100V
+
I1
IT=10mA
I2
R2 = ?
Draw this circuit on a sheet of paper.
Find: I1 I2 RT R2 V1 V2