The figure shows three charges q 1 , q 2 and q 3 situated at corners of a rectan

Question

The figure shows three charges q1, q2 and q3 situated at corners of a rectangle of sides a = 16.0 cm and b = 7.0 cm.

For q1 = 4.30 ?C, q2 = -4.30 ?C, and q3 = 1.50 ?C find the electric potential at the center of the rectangle.

Continuing with the figure above, how much of the electric energy of the system would be expended in moving q3 to infinity while q1 and q2 remain in their positions?

The figure shows three charges q1, q2 and q3 situated at corners of a rectangle of sides a = 16.0 cm and b = 7.0 cm. For q1 = 4.30 ?C, q2 = -4.30 ?C, and q3 = 1.50 ?C find the electric potential at the center of the rectangle. Continuing with the figure above, how much of the electric energy of the system would be expended in moving q3 to infinity while q1 and q2 remain in their positions?

Explanation / Answer

1) at center V = V1 + v2 + V3 = k (q1 + q2 + q3) /sqrt( (a/2)^2 + (b/2)^2) = 9E9*1.5E-6/sqrt(.08^2 +0.035^2)=1.55E5 V

2) W = q dV = 1.5E-6*( 9E9*( 4.3E-6/0.07 -4.3E-6/sqrt(.16^2 + 0.07^2)))=0.497 J

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