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

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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 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).

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
Transcribed Image Text: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
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