Network Solving

35
Solve the Network: 80V R1 10Ω R2 12Ω R3 20Ω

Transcript of Network Solving

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

Redraw circuit , replace 2 parrellel resistors with one:

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

Redraw circuit , replace 2 parrellel resistors with one:1/Rt = 1/R2 + 1/R3

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

Redraw circuit , replace 2 parrellel resistors with one:1/Rt = 1/R2 + 1/R31/Rt = 1/12 + 1/20

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

Redraw circuit , replace 2 parrellel resistors with one:1/Rt = 1/R2 + 1/R31/Rt = 1/12 + 1/201/Rt = 2/15

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

7.5 Ω

Redraw circuit , replace 2 parrellel resistors with one:1/Rt = 1/R2 + 1/R31/Rt = 1/12 + 1/201/Rt = 2/15 Rt = 7.5 Ω

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

7.5Ω

80V 17.5Ω

Replace 2 resistors in series, for one:10 Ω + 7.5Ω = 17.5 Ω

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

7.5Ω

80V 17.5Ω

R total = 17.5Ω

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

7.5Ω

80V 17.5Ω

R total = 17.5ΩI total = Vt/ Rt = 80V/17.5Ω

80V

R1 10Ω

R212Ω

R320Ω

80V

R1 10Ω

7.5Ω

80V 17.5Ω

R total = 17.5ΩI total = Vt/ Rt = 80V/17.5ΩI total = 4.57A

80V

R1 10Ω

R212Ω

R320Ω

4.57A

80V

R1 10Ω

7.5Ω

4.57A

80V 17.5Ω

4.57A

R total = 17.5ΩI total = Vt/ Rt = 80V/17.5ΩI total = 4.57ADRAW THIS ON YOUR CIRCUITS

80V

R1 10Ω

R212Ω

R320Ω

4.57A

80V

R1 10Ω

7.5Ω

4.57A

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x I

80V

R1 10Ω

R212Ω

R320Ω

4.57A

80V

R1 10Ω

7.5Ω

4.57A

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57A

80V

R1 10Ω

R212Ω

R320Ω

4.57A

80V

R1 10Ω

7.5Ω

4.57A

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 V

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 VDRAW RESULT ON THE CIRCUIT

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 VDRAW RESULT ON THE CIRCUITV7.5Ω = 7.5Ωx 4.57A

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 VDRAW RESULT ON THE CIRCUITV7.5Ω = 7.5Ωx 4.57A = 34.275V

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 VDRAW RESULT ON THE CIRCUITV7.5Ω = 7.5Ωx 4.57A = 34.275VDRAW RESULT ON THE CIRCUIT

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

Work out Voltdrops:VR1 = R1x IVR1 = 10Ω x 4.57AVR1 = 45.7 VDRAW RESULT ON THE CIRCUITV7.5Ω = 7.5Ωx 4.57A = 34.275VDRAW RESULT ON THE CIRCUIT

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTS

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85A

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85AIR3 = VR3/ R3

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85AIR3 = VR3/ R3 = 34.275V/20Ω

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85AIR3 = VR3/ R3 = 34.275V/20Ω = 1.71A

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85AIR3 = VR3/ R3 = 34.275V/20Ω = 1.71ADRAW RESULTS ON CIRCUIT

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

80V

R1 10Ω

7.5Ω

4.57A 45.7 V

34.275V

80V 17.5Ω

4.57A

WORK OUT BRANCH CURRENTSIR2 = VR2/ R2 = 34.275V/12Ω = 2.85AIR3 = VR3/ R3 = 34.275V/20Ω = 1.71ADRAW RESULTS ON CIRCUIT

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V = 4.57A x 45.7 V = 208.85W

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V = 4.57A x 45.7 V = 208.85W PR2 = I x V

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V = 4.57A x 45.7 V = 208.85W PR2 = I x V = 2.85A x 34.275V = 97.68W

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V = 4.57A x 45.7 V = 208.85W PR2 = I x V = 2.85A x 34.275V = 97.68W PR3 = I x V

Solve the Network:

80V

R1 10Ω

R212Ω

R320Ω

4.57A 45.7 V

34.275V

1.71A

2.85A

Now that you have all the branch currents you can work out anything required:Power: PR1 = I x V = 4.57A x 45.7 V = 208.85W PR2 = I x V = 2.85A x 34.275V = 97.68W PR3 = I x V = 1.71A x 34.275V = 58.61W

Solve the Network: