Charges on a coordinate system? Charge q_1 = -6.5 nC is located at the coordinat

Question

Charges on a coordinate system?

Charge q_1 = -6.5 nC is located at the coordinate system origin, while charge q_2 = 3.43 nC is located at (a, 0), where a = 0.65 m. The point P has coordinates (a, b), where b = 0.95 m. A third charge q_3 = -1.5 nC will be placed later. Find the electric potential V_p at point P, in volts. Assume the potential is zero at infinity. How much work W, in joules, would you have to do to bring the third charge, q_3, from very far away to the point P? What is the total potential energy U, in joules, of the final configuration of three charges?

Explanation / Answer

c)The potential energy of the final configuration is

U = K (q1q2/r12 + q2q3/r23 + q3q1/r31)

U = 9 x 10^9 x 10^-18 [-6.5 x 3.43/0.65 + 3.43 x -1.5/0.95 + -1.5 x -6.5/sqrt(0.95^2 + 0.65^2)] = -2.81 x 10^-7 J

Hence, U = -2.81 x 10^-7 J

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