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Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω
Redraw circuit , replace 2 parrellel resistors with one: Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω
Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω
Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω
Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 1/Rt = 2/15 Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω
Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 1/Rt = 2/15 Rt =  7.5   Ω Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω 7.5   Ω
Replace 2 resistors in series, for one: 10 Ω  + 7.5Ω  =  17.5 Ω   Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω 7.5Ω 80V 17.5Ω
R total =   17.5Ω Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω 7.5Ω 80V 17.5Ω
R total =   17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω 7.5Ω 80V 17.5Ω
R total =   17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω I total = 4.57A  Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 80V R1  10 Ω 7.5Ω 80V 17.5Ω
R total =   17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω I total =  4.57A DRAW THIS ON  YOUR CIRCUITS  Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1  10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1  10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1  10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1 = 45.7 V Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1  10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1  = 45.7 V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1  = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω  =  7.5Ωx  4.57A Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1  = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω  =  7.5Ωx  4.57A = 34.275V Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1  = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω  =  7.5Ωx  4.57A = 34.275V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω  x  4.57A VR1  = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω  =  7.5Ωx  4.57A = 34.275V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A IR3  = VR3/ R3 Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A IR3  = VR3/ R3 =  34.275V/20 Ω Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A IR3  = VR3/ R3 =  34.275V/20 Ω =  1.71A Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A IR3  = VR3/ R3 =  34.275V/20 Ω =  1.71A DRAW RESULTS ON CIRCUIT Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
WORK OUT BRANCH CURRENTS IR2  = VR2/ R2 =  34.275V/12 Ω =  2.85A IR3  = VR3/ R3 =  34.275V/20 Ω =  1.71A DRAW RESULTS ON CIRCUIT Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A 80V R1  10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
Now that you have all the branch currents you can work out anything required: Solve the Network: 80V R1  10 Ω R2 12 Ω R3 20 Ω 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  10 Ω R2 12 Ω R3 20 Ω 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  10 Ω R2 12 Ω R3 20 Ω 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  10 Ω R2 12 Ω R3 20 Ω 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  10 Ω R2 12 Ω R3 20 Ω 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  10 Ω R2 12 Ω R3 20 Ω 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: 80V R1  10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A

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Network Solving

  • 1. Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω
  • 2. Redraw circuit , replace 2 parrellel resistors with one: Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω
  • 3. Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω
  • 4. Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω
  • 5. Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 1/Rt = 2/15 Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω
  • 6. Redraw circuit , replace 2 parrellel resistors with one: 1/Rt = 1/R2 + 1/R3 1/Rt = 1/12 + 1/20 1/Rt = 2/15 Rt = 7.5 Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω 7.5 Ω
  • 7. Replace 2 resistors in series, for one: 10 Ω + 7.5Ω = 17.5 Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω 7.5Ω 80V 17.5Ω
  • 8. R total = 17.5Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω 7.5Ω 80V 17.5Ω
  • 9. R total = 17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω 7.5Ω 80V 17.5Ω
  • 10. R total = 17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω I total = 4.57A Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 80V R1 10 Ω 7.5Ω 80V 17.5Ω
  • 11. R total = 17.5Ω I total = Vt/ Rt = 80V/ 17.5Ω I total = 4.57A DRAW THIS ON YOUR CIRCUITS Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1 10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
  • 12. Work out Voltdrops: VR1 = R1x I Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1 10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
  • 13. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1 10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
  • 14. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 80V R1 10 Ω 7.5Ω 4.57A 80V 17.5Ω 4.57A
  • 15. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
  • 16. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω = 7.5Ωx 4.57A Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
  • 17. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω = 7.5Ωx 4.57A = 34.275V Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
  • 18. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω = 7.5Ωx 4.57A = 34.275V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 80V 17.5Ω 4.57A
  • 19. Work out Voltdrops: VR1 = R1x I VR1 = 10 Ω x 4.57A VR1 = 45.7 V DRAW RESULT ON THE CIRCUIT V 7.5Ω = 7.5Ωx 4.57A = 34.275V DRAW RESULT ON THE CIRCUIT Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 20. WORK OUT BRANCH CURRENTS Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 21. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 22. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 23. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 24. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A IR3 = VR3/ R3 Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 25. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A IR3 = VR3/ R3 = 34.275V/20 Ω Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 26. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A IR3 = VR3/ R3 = 34.275V/20 Ω = 1.71A Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 27. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A IR3 = VR3/ R3 = 34.275V/20 Ω = 1.71A DRAW RESULTS ON CIRCUIT Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 28. WORK OUT BRANCH CURRENTS IR2 = VR2/ R2 = 34.275V/12 Ω = 2.85A IR3 = VR3/ R3 = 34.275V/20 Ω = 1.71A DRAW RESULTS ON CIRCUIT Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A 80V R1 10 Ω 7.5Ω 4.57A 45.7 V 34.275V 80V 17.5Ω 4.57A
  • 29. Now that you have all the branch currents you can work out anything required: Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 30. Now that you have all the branch currents you can work out anything required: Power: PR1 = I x V Solve the Network: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 31. 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 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 32. 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 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 33. 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 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 34. 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 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A
  • 35. 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: 80V R1 10 Ω R2 12 Ω R3 20 Ω 4.57A 45.7 V 34.275V 1.71A 2.85A