series resistive circuits let’s review!!!! current the flow of electrons in a conductive path. i...

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.