Four charges arc arranged at the comers of a square as shown in the figure. Q_1

Question

Four charges arc arranged at the comers of a square as shown in the figure. Q_1 is at (-L/2.L/2), Q2 is at (L/2,L/2), point a is at the origin and Q_1 = Q_2 = -Q_3 = -Q_4. Which of the following statements correctly describe the electric field E and the potential at points a, b and c? (Give ALL correct answers, i.e., B, AC, BCD...) The E field at c is perpendicular to the x axis. The potential at c is greater(more positive) than the potential at b. The E field at c points towards The potential at a is zero. The E field at a is zero. a, b, and c all lie on the same equipotential surface. The magnitude of the E field at b is greater than at c.

Explanation / Answer

A)  True, the electric field points straight down, toward the negative charges.

B)   False,they are on the same equipotential surface .

C) False, the electric field points straight down, toward the negative charges.

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

E) False

F) True, they are on the same equipotential surface (with the charges symmetrically distributed).

G) True, b is closer to Q2 and Q4 than is c, so the electric field is strong.

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