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"Suppose we have a C = 1000 microF cap initially charged to Vo = 10 V
that is discharging through a small R = 10 ohm resistor and L = 20 cm
of copper wire with a diameter of d = 1.00 mm.
Using the density of copper (rho = 8.9 g/cm^3), the atomic mass of
copper (M = 64 g/mole), and the assumption of one conduction
electron per copper atom, we find a conduction electron number
density of n = (rho/M)*N_avog = 8.5 x 10^22 electrons/cm^3 and a
total of N = n(pi*d^2*L/4) = 1.3 x 10^16 conduction electrons."
Just a nit: I think the N is closer to 10^21 electrons in the wire.
Otherwise I very much appreciate the post.