Answered: uniform electric field is produced by…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 18CQ: Explain why knowledge of E(x, y, z) is not sufficient to determine V(x,y,z). What about the other...

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A proton moving at v₀ = 2.60 ✕ 10⁶ m/s enters the region between two parallel plates with charge densities of magnitude ? = 4.60 ✕ 10⁻⁹ C/m² (see the figure below).

A uniform electric field is produced by two charged horizontal plates, each of length d, where the positive plate is above the negative plate. The leftmost side of each plate is at horizontal position x = 0. The upper plate has charge density +? and the lower plate has charge density −?. Several parallel vertical arrows representing vector E point from the positive plate down to the negative plate.

A proton is located at x = 0 and vertical position y = 0, to the left of and midway between the plates. Velocity vector v₀ points rightward from the proton into the space between the plates.

HINT

(a)

Calculate the magnitude of the electric field (in N/C) between the plates.

N/C

(b)

Calculate the magnitude of the electric force (in N) acting on the proton.

(c)

Find the y-location of the proton (in m) when it reaches the far edge of the plates, a horizontal distance d = 5.00 ✕ 10⁻² m from where it entered. Assume that the proton does not hit either of the plates. (Assume the +x direction is to the right and the +y direction is up.)