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Science · Advanced Physics
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2. (20 points) Ohms Law: Electrons of charge e and mass m are moving at constant speed v inside a straight conducting wire of length L and cross sectional area A. The number density of electrons inside the wire is n. There is a uniform electric field E and a friction force of magnitude F,-m/O where is a constant a) What is the acceleration of the electrons? What is the total force on each electron? b) Equating the magnitude of the electric force to the magnitude of the friction force, find the relation between v and E c) Show that the urent density is proportional toE: D E. Find the proportionality constant lthe conductivity, in terms ofn, e, m and D d) Express the total voltage difference V in the wire in terms of the electric field E. e) Express the total current I in terms of the current density j. f) Obtain Ohms Law, V = R 1 from the relationj-OE. Express the resistance R in terms of the other parameters.
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