3 Ω

38
17 V A 3 V 3

description

3 Ω. 17 V. A 3. V 3. A 1. 17 V. 5 Ω. 8 Ω. 9 Ω. 7 Ω. A 2. V 3. 3 Ω. 6 Ω. A 4. 10 Ω. V 1. V 2. 12 Ω. A 3. 11 Ω. 4 Ω. 17 V. 5 Ω. 8 Ω. 9 Ω. 7 Ω. A 2. V 3. 3 Ω. 6 Ω. A 4. 10 Ω. V 1. A 1. V 2. 12 Ω. A 3. 11 Ω. 4 Ω. 17 V. 5 Ω. 7 Ω. 17 Ω. A 2. 3 Ω. 6 Ω. A 4. - PowerPoint PPT Presentation

Transcript of 3 Ω

17 V

A3

V3

17 V5Ω 8Ω

6Ω10Ω

11Ω

12Ω

A4

A3

A2

V1

V2

V3

A1

17 V5Ω 8Ω

6Ω10Ω

11Ω

12Ω

A4

A3

A1

A2

V1

V2

V3

17 V5Ω

6Ω10Ω

11Ω

12Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

6Ω10Ω

11Ω

12Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

6Ω10Ω

23Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

6Ω10Ω

23Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

6.9696Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

6.9696Ω

17Ω

A4

A3

A1

A2

V1

V2

17 V5Ω

23.9696Ω

A3

A1

A2

V1

V2

17 V5Ω

23.9696Ω

A3

A1

A2

V1

V2

17 V5Ω

5.4178Ω

A3

A1

A2

V1

V2

17 V5Ω

5.4178Ω

A3

A1

A2

V1

V2

17 V

5.4178Ω

12Ω

A3

A2

V2

17 V

5.4178Ω

12Ω

A3

A2

V2

17 V

5.4178Ω

A3

V2

Finally we have this last series circuit:

17 V

5.4178Ω

A3

V2

Solving:Rtot = 5.4178 + 4 = 9.4178

17 V

5.4178Ω

A3

V2

Solving:Rtot = 5.4178 + 4 = 9.4178

I = V/R = 17/9.4178 = 1.8051A(This is the reading on A3)

17 V

5.4178Ω

A3

V2

Solving:Rtot = 5.4178 + 4 = 9.4178

I = V/R = 17/9.4178 = 1.8051A(This is the reading on A3)

Picking off voltages:V2 = 1.8051*5.4178 = 9.7796 VV4Ω = 1.8051*4 = 7.2204 V

7.2204 V

Solving the subcircuit on the left:

7.2204 V

12Ω

A2

Which is really

7.2204 V

12Ω

A2

The current through the 6Ω is just V/R = 7.2204/6 = 1.2034AWhich is the reading on A2.

7.2204 V

12Ω

This leaves:

7.2204 V5Ω

A1

V1

Which is really:

7.2204 V5Ω

A1

V1

Solving (series)

Rtot = 5 + 3 + 4 = 12Ω

7.2204 V5Ω

A1

V1

Solving (series)

Rtot = 5 + 3 + 4 = 12Ω

I = 7.2204/12 = .6017AWhich is the reading on A1

7.2204 V5Ω

A1

V1

Solving (series)

Rtot = 5 + 3 + 4 = 12Ω

I = 7.2204/12 = .6017AWhich is the reading on A1

V1 = IR = .6017*3 = 1.8051V

17 V

5.4178Ω

A3

V2

Now let’s look at the right subcircuit:

17 V

5.4178Ω

A3

V2

Now let’s look at the right subcircuit: (the 5.4178Ω resistor)

V2 = 1.8051*5.4178 = 9.7796 V

9.7796 V So it looks like this:

5.4178Ω

9.7796 V Which is really8Ω

10Ω

11Ω

12Ω

A4

V3

9.7796 V But let’s go back to

6.9696Ω

17Ω

A4

9.7796 V Which is really

6.9696Ω

A4

V3

9.7796 V Solving the right side which is a series circuit (ignore the 7Ω)

6.9696Ω

A4

V3

9.7796 V Solving the right side which is a series circuit (ignore the 7Ω)

Rtot= 8+9+6.9696 = 23.9696Ω7Ω

6.9696Ω

A4

V3

9.7796 V Solving the right side which is a series circuit (ignore the 7Ω)

Rtot= 8+9+6.9696 = 23.9696Ω

I = V/R = 9.7796/23.9696 = .408A which is the reading on A4

6.9696Ω

A4

V3

9.7796 V Solving the right side which is a series circuit (ignore the 7Ω)

Rtot= 8+9+6.9696 = 23.9696Ω

I = V/R = 9.7796/23.9696 = .408A which is the reading on A4

And finally,V3 = IR = .408*9 = 3.6720V

6.9696Ω

A4

V3

9.7796 V Solving the right side which is a series circuit (ignore the 7Ω)

Rtot= 8+9+6.9696 = 23.9696Ω

I = V/R = 9.7796/23.9696 = .408A which is the reading on A4

And finally,V3 = IR = .408*9 = 3.6720V

Ta Daa!

6.9696Ω

A4

V3