- #1

John123

- 9

- 0

## Homework Statement

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? Select true or false for each statement.

1. The potential at c is zero.

2. The magnitude of the E field at b is greater than at c.

3. The E field at a is zero.

4. The E field at c is zero.

5. a, b, and c all lie on the same equipotential surface.

6. The potential at a is zero.

7. The potential at b is zero.

https://imgur.com/a/w4EmPKy

## Homework Equations

I attempted to use logical reasoning

## The Attempt at a Solution

1. The potential at c is zero. - F

2. The magnitude of the E field at b is greater than at c. - T: the b charge is closer to the point charges hence the electric field is greater

3. The E field at a is zero. - T: E field is a vector hence they all cancel within the middle

4. The E field at c is zero. - T: the E field does not cancel on c

5. a, b, and c all lie on the same equipotential surface. - T: Self-explanatory, they all lie on the x axis

6. The potential at a is zero. - F: E potential is a scalar hence it will not cancel to zero

7. The potential at b is zero. - F

Does anyone see which ones I may have gotten incorrect so I can logically see the correct answers?

Thanks