Two parallel plates carry charge of equal magnitude but opposite sign, and are separated by a distance of d = 16.0 cm. Each plate has a uniform surface charge density of ± ? = 40.0 nC/m2. (Please enter all answers using at least four significant figures.) (a.) Determine the magnitude of the electric field between teh plates from the charge density. (Recall, from chapter 23, the magnitude of the uniform electric field between two parallel, charged plates is E = ?/?o.) (b.) If a proton ( q = e = 1.602 ✕ 10-19 C; mp = 1.673 ✕ 10-27 kg) is released from rest at the positive plate, what potential difference does it move through in reaching the negative plate? (c.) What is the change in potential energy of the system when the proton is

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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Two parallel plates carry charge of equal magnitude but opposite sign, and are separated by a distance of d = 16.0 cm. Each plate has a uniform surface charge density of ± ? = 40.0 nC/m2. (Please enter all answers using at least four significant figures.)

(a.) Determine the magnitude of the electric field between teh plates from the charge density. (Recall, from chapter 23, the magnitude of the uniform electric field between two parallel, charged plates is E = ?/?o.)

(b.) If a proton ( q = e = 1.602 ✕ 10-19 C; mp = 1.673 ✕ 10-27 kg) is released from rest at the positive plate, what potential difference does it move through in reaching the negative plate?

(c.) What is the change in potential energy of the system when the proton is accelerated from the positive to the negative plate?

(d.) Determine the speed of the proton just before it strikes the negative plate (if it is accelerated from rest from the positive plate).

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