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Question:
Electric charge is distributed uniformly along each side of a square. Two adjacent sides have positive charge with total charge + Q on each. Each side of the square has length a.
Image at bottom.
Part A:
Suppose the other two sides have negative charge with total charge  Q on each. What is the xcomponent of the net electric field at the center of the square? Give your answer in terms of Q, a, and epsilon_0.
The electric field at the origin would point away from the positive charge and point towards the negative charge. The xcomponents would both be in the x direction and equal in magnitude.
I thought all I had to do was double the equation for an electric field with Q as the charge and (.5a) as the distance.
My answer was  (2)*(Q) / (Pi* a^(2) * (epsilon_0).
Because this is a Mastering Physics question and I was close, my feedback was "Your answer is off by a multiplicative factor."
What did I do wrong?
Electric charge is distributed uniformly along each side of a square. Two adjacent sides have positive charge with total charge + Q on each. Each side of the square has length a.
Image at bottom.
Part A:
Suppose the other two sides have negative charge with total charge  Q on each. What is the xcomponent of the net electric field at the center of the square? Give your answer in terms of Q, a, and epsilon_0.
The electric field at the origin would point away from the positive charge and point towards the negative charge. The xcomponents would both be in the x direction and equal in magnitude.
I thought all I had to do was double the equation for an electric field with Q as the charge and (.5a) as the distance.
My answer was  (2)*(Q) / (Pi* a^(2) * (epsilon_0).
Because this is a Mastering Physics question and I was close, my feedback was "Your answer is off by a multiplicative factor."
What did I do wrong?
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