1) What are the magnitude and direction of the net electric field that is found at the origin (0,0) if three charged particles are arranged on an (x,y) coordinate plane with the following locations and charges: Particle Charge [e] Location (x,y) [meters] 1 2 3 4 -3 1 (1,0) (0,4) (3,3)

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1) What are the magnitude and direction of the net electric field that is found at the
origin (0,0) if three charged particles are arranged on an (x,y) coordinate plane with the
following locations and charges:
Particle Charge [e] Location (x,y)
[meters]
1
2
3
4
-3
1
(1,0)
(0,4)
(3,3)
2) Two arclengths of uniform but opposite charge and the same charge density, λ, are
arranged as shown in the below image.
a. What is the length of each arc, s? (As
always, show work for units.)
b. In terms of Q, what are the magnitude and
direction of the electric field at the origin
(0,0) in ijk notation?
c. If a particle of charge -2Q were placed at
the origin, what would the magnitude and
angle of the force on the new particle be?
0
0
R
+Q
e=40°
R=0.7m
X
Transcribed Image Text:1) What are the magnitude and direction of the net electric field that is found at the origin (0,0) if three charged particles are arranged on an (x,y) coordinate plane with the following locations and charges: Particle Charge [e] Location (x,y) [meters] 1 2 3 4 -3 1 (1,0) (0,4) (3,3) 2) Two arclengths of uniform but opposite charge and the same charge density, λ, are arranged as shown in the below image. a. What is the length of each arc, s? (As always, show work for units.) b. In terms of Q, what are the magnitude and direction of the electric field at the origin (0,0) in ijk notation? c. If a particle of charge -2Q were placed at the origin, what would the magnitude and angle of the force on the new particle be? 0 0 R +Q e=40° R=0.7m X
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