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Homework Statement
A) Determine the net force on charge 1.
B) What is the net electric field acting on charge 1?
Homework Equations
Fnet
Enet
The Attempt at a Solution
Let North and East be positive.
Because of symmetry, F_{21} = F_{31}
F_{2} = F_{3}
F_{2} = (9.0x10^{9})(2.0x10^{5}(3.0x105) / (2.0m)^{2}
F_{2} = 1.35N
F_{net} = √1.35N^{2} + 1.35N^{2}
F_{net} = 1.909N
F_{net} = 2N
For the angle of the electric force:
tan^{1} = 2/2
= 45º
therefore the net electric force on charge 1 is 2N [N 45º E].
B) Enet
Let right and up be positive.
Because of symmetry,
r = √2^{2} + 2^{2}
= 2√2
Enet = 2E_{1}cos45º
Enet = 2(kq_{1} / r^{2} cos45º
Enet = 2(9.0x10^{9})(3.0x10^{5}) / (2√2)^{2} cos45º
Enet = 47729.7 N/C
Enet = 4.7 x10^{4} N/C
Any input is appreciated as I still am not completely confident that I am doing these questions right. Thanks
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