# Square and Potential

1. Mar 5, 2005

### Soaring Crane

The absolute potential at the exact center of a square is 3 V when a charge of +Q is located at one of the square's corners. What is the absolutue potential at the square's center when each of the other corners is also filled with a charge of +Q?

I suppose you can't just multiply 3V*4 = 12 V? What's the correct of doing this problem?

Thanks.

2. Mar 5, 2005

### Curious3141

Actually, you can just multiply by 4. Potentials are scalar and additive.

If you want to "prove" it from first principles, you have to integrate the electric field vector along a line normal to the square and passing thru' the square's center with respect to displacement from infinity to zero. But you would end up with the same expression.

Last edited: Mar 5, 2005