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Published byRandolf Knight Modified over 8 years ago
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Recall that electrons traveled from the cathode to the anode in the external circuit: Topic 5.1 Extended A – Current and drift velocity ---------- ---------------- ++++++++++++++++ ++++++++++ Electrolyte Anode Cathode The chemical cell - + Note that it is the ELECTRONS that flow through the circuit, not the positive ions. For historical reasons, circuit analysis is usually performed using what is called conventional current. Conventional current is POSITIVE current flow. Mathematically, it is the same as negative current flow, except it travels in the opposite direction through the circuit.
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Topic 5.1 Extended A – Current and drift velocity This schematic diagram (symbolic representation of a circuit) shows electron flow: Note that the ELECTRONS flow everywhere simultaneously. + - This schematic shows conventional current flow: Electron Current + - Conventional Current Note that the conventional current flows everywhere simultaneously. FYI: In order to help you understand why the electrons travel everywhere simultaneously in a complete circuit, visualize electrons as ping-pong balls in a tube: FYI: If the battery shoves an electron in the tube, all of the electrons are shoved along the tube to make room for it. Conventional current flows in the direction opposite to the electron current.
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We define electric current I as the rate of flow of charge q past a point. Quantitatively, Topic 5.1 Extended A – Current and drift velocity I = qtqt Or more simply I = qtqt Electric Current The SI unit for current is given by coulomb second = CsCs = ampere (A)
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Household circuits can carry up to 12 A of current. How many electrons would pass a point in a wire in 1 minute if there were 12 A in the wire? Topic 5.1 Extended A – Current and drift velocity Convert 1 minute into 60 second. Then I = qtqt q = It q = 12(60) q = 720 C 1 e - 1.6 10 -19 C = 4.5 10 21 e -
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D RIFT V ELOCITY Topic 5.1 Extended A – Current and drift velocity In a metal, free electrons move very rapidly, but collide constantly with the atoms in the lattice structure of the metal. Note that through any cross-section of the conductor, the net current is zero. FYI: Thus, although the electrons have a very high velocity, the net result at the macroscopic level, is that there is no electron migration.
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Topic 5.1 Extended A – Current and drift velocity D RIFT V ELOCITY If we place that same portion of conductor under the influence of a potential difference, we have a slowish drifting of the velocities toward the lower potential: Note that the net current is NOT zero in this case. FYI: The electrons still have a very high velocity, but this time the net migration is in the direction of lower potential. VV FYI: The speed of this net migration is called the drift velocity. FYI: The drift velocity is of the order of 10 -3 m/s. Thus it takes an electron about 1000 s (17 minutes) to travel 1 meter in house wiring! Question: If the wiring between the light switch and the bulb is 8 meters, it takes an electron about 133 minutes (2.2 hours) to travel from the switch to the bulb. Why does it light up instantly? Answer: The electric field travels at about the speed of light, causing all of the electrons in the conductor to drift virtually instantaneously!
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