(5) Current is flowing through a cylindrical copper wire with radius 6.33mm and length 92.1cm. This wire is hooked up to two capacitors in series C, = 9.421F and C2 = 8.111F. The capacitors both have cross sectional areas of A = 179cm2. (a) At a given moment in time, the current is I = 77.97A and the drift velocity of the electrons is va = 45.6um/s. What is the number density of electrons in this wire? (b) At a given moment in time, the charge on capacitor 2 is 62.6µC. What is the total change in potential across both capacitors combined? (c) At the moment described in part (b), what is the energy stored in capacitor 2? (d) At the moment described in part (b), what is the energy density of the electric field in capacitor 2?

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(5) Current is flowing through a cylindrical copper wire with radius 6.33mm and length
92.1cm. This wire is hooked up to two capacitors in series C1 = 9.42,1F and C2 = 8.11µF.
The capacitors both have cross sectional areas of A = 179cm2.
(a) At a given moment in time, the current is I = 77.97A and the drift velocity of the
electrons is va = 45.6µm/s. What is the number density of electrons in this wire?
(b) At a given moment in time, the charge on capacitor 2 is 62.6uC. What is the total
change in potential across both capacitors combined?
(c) At the moment described in part (b), what is the energy stored in capacitor 2?
(d) At the moment described in part (b), what is the energy density of the electric field
in capacitor 2?
%3D
Transcribed Image Text:(5) Current is flowing through a cylindrical copper wire with radius 6.33mm and length 92.1cm. This wire is hooked up to two capacitors in series C1 = 9.42,1F and C2 = 8.11µF. The capacitors both have cross sectional areas of A = 179cm2. (a) At a given moment in time, the current is I = 77.97A and the drift velocity of the electrons is va = 45.6µm/s. What is the number density of electrons in this wire? (b) At a given moment in time, the charge on capacitor 2 is 62.6uC. What is the total change in potential across both capacitors combined? (c) At the moment described in part (b), what is the energy stored in capacitor 2? (d) At the moment described in part (b), what is the energy density of the electric field in capacitor 2? %3D
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