How am I obtaining silicon with resistivity proportional to the number of conduction electrons?
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This is where more quantitative material will go when I have a chance. Covering the free electron model and the Drude model would be nice. For now, skip this page
Many introductory physics texts discuss the microscopic origins of electric current and what factors determine the amount of current that will flow through a given wire. The animation below briefly recounts the key points. The reader is encouraged to grab his or her favorite physics text to obtain more details.
A. Representative conduction electrons in a wire. (A real wire contains too many electrons to show; we have included only enough electrons to give a sense of what occurs.)
B. In the absence of an electric field, electrons move randomly through the wire.
C. In a sense, applying a potential difference to the wire is like tipping the wire. The electrons experience a net force toward the higher potential, resulting in a net velocity directed toward that higher potential. Much random motion, however, remains. The net velocity is called the drift velocity vd of the electrons.
D. All of the charge DQ in the shaded volume DVol of the figure will pass through the highlighted cross section of the wire in a time Dt. The average current through that cross section of the wire can be found from DQ/Dt.
E. DQ is found by counting the number of charge carriers (in this case, the number of electrons) and multiplying that number by the charge q of an individual charge carrier (in this case, e, the charge on an electron). The number of charge carriers, however, is not a property solely of the material but depends on the size DVol. We therefore separate the number of charge carriers into the charge carrier number density n, which is a property of the material, and the volume DVol.
Many introductory physics texts discuss the microscopic origins of electric current and what factors determine the amount of current that will flow through a given wire. The animation below briefly recounts the key points. The reader is encouraged to grab his or her favorite physics text to obtain more details.
A. Representative conduction electrons in a wire. (A real wire contains too many electrons to show; we have included only enough electrons to give a sense of what occurs.)
B. In the absence of an electric field, electrons move randomly through the wire.
C. In a sense, applying a potential difference to the wire is like tipping the wire. The electrons experience a net force toward the higher potential, resulting in a net velocity directed toward that higher potential. Much random motion, however, remains. The net velocity is called the drift velocity vd of the electrons.
D. All of the charge DQ in the shaded volume DVol of the figure will pass through the highlighted cross section of the wire in a time Dt. The average current through that cross section of the wire can be found from DQ/Dt.
E. DQ is found by counting the number of charge carriers (in this case, the number of electrons) and multiplying that number by the charge q of an individual charge carrier (in this case, e, the charge on an electron). The number of charge carriers, however, is not a property solely of the material but depends on the size DVol. We therefore separate the number of charge carriers into the charge carrier number density n, which is a property of the material, and the volume DVol.
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this is where more quantitive material will go
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