In the picture above, the 3 charges Q 1 , Q 2 , and Q 3 are located at positions

Question

In the picture above, the 3 charges Q1, Q2, and Q3 are located at positions (-a,0), (a,0) and (0,-d) respectively. (The origin is the point halfway between Q1 and Q2.) Consider the special case where Q1, Q3 >0, and Q2=-Q1. Which of the following statements are true?

A) The electric potential at the origin equals Q3/(4*?*?0*d).

B)  If Q3 is released from rest, it will initially accelerate to the right.

C) The electric field at the origin points in the positive y direction, away from Q3.

D) The external work done to bring these charges to this configuration (from infinity) was positive.

E) The electric potential at any point along the y-axis is positive.

F) The work required to move Q3 from its present position to the origin is zero.

G) The force on Q3 due to the other two charges is zero.

Explanation / Answer

A) The electric potential at the origin equals Q3/(4**0*d).

B)  If Q3 is released from rest, it will initially accelerate to the right.

E) The electric potential at any point along the y-axis is positive.

F) The work required to move Q3 from its present position to the origin is zero.

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