1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of q), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part). q a/2 P α -2q Q -9 x
1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of q), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part). q a/2 P α -2q Q -9 x
Chapter7: Electric Potential
Section: Chapter Questions
Problem 72P: The practical limit to all electric field in air is about 3.00106 N/C. Above this strength, sparking...
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Question
Consider the four point charges shown in the figure on the right,
arranged on the edges of a square of side a.
a) Find the value of Q (in terms of q), such that the electric field
at the center of the square points down (i.e., it only has a –y
component). Show all work and justify any assumptions you
make.
b) Assuming Q has the value found in part (a), find the force
exerted by the four corner charges on a fifth charge −q placed
at the center of the square.
c) Also using the result from (a), find the electric field at point
P (shown in the figure) created by the four corner charges
(there is no charge at the center of the square for this part).
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