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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 Micro-world Macro-world Lecture 9
Electric currents (Motion of electric charges) Micro-world Macro-world Lecture 9
Positive Ions Atoms with one or more electrons removed _ _ + + + _ _ _ + + _ _ _ ”net” charge = +2qe
Battery C Zn Zn - - + + Zn Zn++ Zn++ Zn - - - - Zn Zn + + - - Zn++ - - Zn Zn Zn++ + + acid
“Voltage” Cathode Anode - + - - + + - - + + - E - + + - Zn++ - F + + W = Fd “Voltage” F = 2qeE d W0 2qe V W = 2qeEd W0 = 2qeE0d =E0d
Energy gained by the charge W = Fd =Q E0d = QV F=QE0 F=QE0 Q Q Anode - + Cathode - E0 - + + - - + + Zn++ - - + + - Zn++ - + + d
Units again! W = Q V joules joules coulomb W Q V = = Volt coulombs joule coulomb 1 V = 1
Continuous charge flow = “electric current” Electrical “conductor” connected between anode & cathode Q Q Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +
electric current Coulombs second Units: Q t I = =Amperes Q Q Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +
The conductor can be a piece of wire Q t I = + + + Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +
The energy can be used to run a gadget Energy time QV t P= = = I V + I + + I I Anode - + Cathode - - + + - - + + Zn++ - - + + - Zn++ - + +
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
General circuit I Appliance - + I + - 12V Energy source (device that separates + & - charge)
analogy Amt of water flow ~ current appliance Height ~ voltage Pump ~ battery pump pond
Current loop S N
Even more loops S N
Solenoid coil S N Looks like a bar magnet
Atomic magnetism B + I - Some atoms are little magnets
Forces on two parallel wires I I Current in same direction: wires attract B
Forces on two parallel wires I Current in opposite directions: wires repel B I
Force law of Biot & Savart I1 I2 I1I2l d F = k l N A2 k=2x10-7 B d
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
Electric motor F I I B F
Electric motor B I
Speakers Solenoid Electro-magnet Permanent magnet
Lorentz force B v F +q i=qv if v B: F = iB = qvB direction by the right-hand rule
Electromagnetism Michael Faraday Faraday’s Law
Use this to drive an electric circuit + + + + I +
Moving wire loop in a B field v + + An electric current is “induced” in the loop
Either the magnet or the loop can move v + + an electric current is “induced” in the loop
Magnetic flux (F) thru a loop F = BA┴
Flux thru a coil of N loops F = NBA┴
Faraday’s law Michael Faraday change in F elapsed time Induced voltage in a circuit = change in NBA┴ elapsed time EMF = “Electro-Motive Force”
Rotating coil in B field B A┴ = 0 F =0
Rotating coil in B field B A┴ = Acoil F = maximum
Rotating coil in B field B A┴ = 0 (again) F = 0
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
Lenz’ law An induced voltage always gives rise to an electric current that creates a magnetic field that opposes the influence that produced it.