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A hollow ball with radius R = 2 cm has a charge of -1 nC spread uniformly over i

ID: 1952240 • Letter: A

Question

A hollow ball with radius R = 2 cm has a charge of -1 nC spread uniformly over its surface (see the figure). The center of the ball is at P1 = <-1, 0, 0> cm. A point charge of 3 nC is located at P3 = <7, 0, 0> cm. (The diagram below is not drawn exactly to scale.)

What is the net electric field at location P2 = <0, 5, 0> cm?
E= ? N/C

At a particular instant an electron is at location P2. What is the net electric force on the electron at that instant?
F= ? N

The image of the hollow ball is at this link :http://www.webassign.net/mi3/14-064-HWshell_point.jpg

Explanation / Answer

q1 = -1 nC, x1 = -1 cm, y1 = 0, q2 = 3 nC, x2 = 7 cm, y2 = 0
x = 0, y = 5 cm
E = kq1/[(x - x1)2 + (y - y1)2)]3/2 * [(x - x1) i + (y - y1) j] + kq2/[(x - x2)2 + (y - y2)2)]3/2 * [(x - x2) i + (y - y2) j] = (2.23*103 i - 1.27*103 j) N/C
magnitude E = 2.57*103 N/C

F = eE = 4.11*10-16 N

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