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

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 = -4.00 x 10-9 C placed at corner A and then at corner B. q1=1.5x10-9 C and q2=4.0x10-9 C.

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 = -4.00 times 10-9 C placed at corner A and then at corner B. q1=1.5x10-9 C and q2=4.0x10-9 C.

Explanation / Answer

length of side of square L = 0.250 m

the electric potential energy of charge q3 when placed at corner A is

U1 = k x (q1q3/L)

where k = (1/4pi x e_o) = 9 x 10^9 Nm^2/C^2

the electric potential energy of charge q3 when placed at corner B is

U2 = k x (q2q3/L)

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