Net Electric Field at the center of a square

  • Thread starter kemcco1955
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Homework Statement


What net electric field do the particles of problem #1 produce at the square's center? Problem number one has a square with edge lengths of 24.00cm and charges of q1==8.0e-6C, q2=-8.0e-6C, q3=-8.0e-6, and q4=+8.0. He wants the answer for the electric field in component form(Etotal= N/C x + N/Cy. I do not know how to find electric field when using different components.


2. Homework Equations
Ecenter=kq/r^2


3. The Attempt at a Solution
I know that q1 and q3 cancel/ equal zero because they are both negative and on the diagonal from one another. The vector for q2 points away from the charge and the vector for q4 points toward the charge. I find E2 using (8.99e9)(-8e-6)/.1697^2. And for E4 I get the same but with an opposite sign. The r it got to be .1697 m by taking the sqrt of .24^2+.24^2 =.3394/2=.1697. The angel, I think is 45 degrees. I am having difficulty finding how to get the E total into components I know that you can take an answer and multiply it by cos45 and sin45(which are the same), but I don't know how to set up the vectors to solve...I hope that makes some since...I am very confused.
 

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