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The drawing shows a square, each side of which has a length of L = 0.250 m. Two

ID: 2280220 • Letter: T

Question

The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 x 10-9 C placed at corner A and then at corner B.

The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 x 10-9 C placed at corner A and then at corner B.

Explanation / Answer

I assume the first two charges are on the same side of the square (you don't specify it, you should)
Then a third charge is at a distance L from say, q1 and a distance sqrt(2)L from q2.
The electric potential at this point is V=(q1/L+q2/(sqrt(2)L)) and the electric energy of q3 is then
q3V. For the other point, simply exchange q1 and q2

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