Four charges are arranged at the corners of a square as shown in the figure. Q1

Question

Four charges are arranged at the corners of a square as shown in the figure. Q1 is at (-L/2,L/2),Q2 is at (L/2,L/2), point a is at the origin and Q1=Q2=-Q3=-Q4. Which of the following statements correctly describe the electric field E and the potential at points a,b and c? Enter the letters of true statements in alphabetical order; e.g. "ACF" The potential at a is greater(more positive) than the potential at c. a,b, and c all lie on the same equipotential surface. The E field at b is zero. The magnitude of the E field at b is greater than at c. The E field at c is perpendicular to the x axis. The E field at a points towards c. The potential at a is zero.

Explanation / Answer

QUESTION:

A) The magnitude of the E ?eld at b is greater than at c.

B) The E ?eld at b points towards a.

C) The E ?eld at c is perpendicular to the x axis.

D) The potential at a is zero.

E) a, b, and c each lie on a di?erent equipotential surface.

F) The potential at b is greater (more positive) than the potential at a.

G) The E ?eld at b is zero.

ANSWER:

A) True, b is closer to Q2 and Q4 than is c, so the electric ?eld is strong.

B) False, the electric ?eld points straight down, toward the negative charges.

C) True, see (B).

D) True, a is equidistant from all points. Potential is a scalar quantity and it

sums to zero.

E) False, they are on the same equipotential surface (with the charges symmetrically distributed).

F) False, see (E).

G) False, see (A).

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