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Electric currents & Electromagnetism

Electric currents & Electromagnetism. Micro-world Macro-world Lecture 9. Electric currents. (Motion of electric charges). Micro-world Macro-world Lecture 9. Alessandro Volta. Positive Ions. Atoms with one or more electrons removed. _. _. +. +. +. _. _. _. +. +. _. _. _.

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Electric currents & Electromagnetism

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  1. Electric currents& Electromagnetism Micro-world Macro-world Lecture 9

  2. Electric currents (Motion of electric charges) Micro-world Macro-world Lecture 9

  3. Alessandro Volta

  4. Positive Ions Atoms with one or more electrons removed _ _ + + + _ _ _ + + _ _ _ ”net” charge = +2qe

  5. Battery C Zn Zn - - + + Zn Zn++ Zn++ Zn - - - - Zn Zn + + - - Zn++ - - Zn Zn Zn++ + + acid

  6. “Voltage” Cathode Anode - + - - + + - - + + - E - + + - Zn++ - F + + W = Fd “Voltage” F = 2qeE d W0 2qe V W = 2qeEd  W0 = 2qeE0d  =E0d

  7. Energy gained by the charge W = Fd =Q E0d = QV F=QE0 F=QE0 Q Q Anode - + Cathode - E0 - + + - - + + Zn++ - - + + - Zn++ - + + d

  8. Units again! W = Q V joules joules coulomb W Q  V = = Volt coulombs joule coulomb 1 V = 1

  9. Continuous charge flow = “electric current” Electrical “conductor” connected between anode & cathode Q Q Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +

  10. electric current Coulombs second Units: Q t I = =Amperes Q Q Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +

  11. The conductor can be a piece of wire Q t I = + + + Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +

  12. The energy can be used to run a gadget Energy time QV t P= = = I V + I + + I I Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +

  13. Electric light 60 Watts I=? T Power = P = I V P V 60 W 100V I = = J/s J/C 1/s 1/C = 0.6 = 0.6 C s V=100V = 0.6 = 0.6 A

  14. General circuit I Appliance - + I + - 12V Energy source (device that separates + & - charge)

  15. analogy Amt of water flow ~ current appliance Height ~ voltage Pump ~ battery pump pond

  16. Voltas’ 1st batteries

  17. Christian Oersted

  18. Electric currents produce B-fields B I

  19. Right-hand rule B

  20. Current loop S N

  21. Two current loops N S

  22. Even more loops S N

  23. Solenoid coil S N Looks like a bar magnet

  24. Atomic magnetism B + I - Some atoms are little magnets

  25. Permanent magnet-microscopic view-

  26. Magnetic forces on electric currents I

  27. Another right-hand rule I

  28. Forces on two parallel wires I I Current in same direction: wires attract B

  29. Forces on two parallel wires I Current in opposite directions: wires repel B I

  30. Force law of Biot & Savart I1 I2 I1I2l d F = k l N A2 k=2x10-7 B d

  31. Biot & Savart example I1I2l d 20A 20A F = k (20A)2 2m 0.01m N A2 F= 2x10-7 2m B F= 2 x 10-3N Small, but not tiny 0.01m

  32. Electric motor F I I B F

  33. Electric motor B I

  34. Speakers Solenoid Electro-magnet Permanent magnet

  35. Lorentz force B v F +q i=qv if v  B: F = iB = qvB direction by the right-hand rule

  36. Electromagnetism Michael Faraday Faraday’s Law

  37. Moving a Conductor in a B-fieldseparates + & - charges I

  38. Use this to drive an electric circuit + + + + I +

  39. Moving wire loop in a B field v + + An electric current is “induced” in the loop

  40. Either the magnet or the loop can move v + + an electric current is “induced” in the loop

  41. Magnetic flux (F) thru a loop F = BA┴

  42. Flux thru a coil of N loops F = NBA┴

  43. Faraday’s law Michael Faraday change in F elapsed time Induced voltage in a circuit = change in NBA┴ elapsed time EMF = “Electro-Motive Force”

  44. Rotating coil in B field B A┴ = 0  F =0

  45. Rotating coil in B field B A┴ = Acoil F = maximum

  46. Rotating coil in B field B A┴ = 0 (again)  F = 0

  47. AC voltage

  48. Lenz’ Law B B S B-field from induced current + + B-field from induced current I N v v the fall produces an induced current the B-field produced by the induced current tries to impede the fall

  49. Lenz’ law An induced voltage always gives rise to an electric current that creates a magnetic field that opposes the influence that produced it.

  50. Maglev trains

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