# Electric field and positive and a negative charge

This is not a homework question, but a question im stuck on in my textbook. I have the answer but struggling to understand it.

## Homework Statement

A positive and a negative charge of equal magnitude are placed at a distance 's' from each other on the x-axis as shown in Figure 1.38. Determine the direction of the electric field at point P, which is equidistant from both charges. ** I have attached the answer that is a diagram to this post** I do not understand it.

N/A

## The Attempt at a Solution

The contributions to the field at P due to thepositive and negative charges are shown in Figure 1.60.Their magnitudes are the same, because the magnitudes of the two charges are the same, as are their distances from P.The directions are along the line joining P to the chargesand away from the positive charge but towards thenegative charge. Thus, the two contributions make equal angles above and below the positive x-direction. The resultant field at P is therefore in the positive x-direction.

What I dont understand

Why is the elecric field from the negative charge and positive charge towards the right on x-axis but in opposite y directions. The charge of P is not known so why is it to the right, I would think it would be to the right if it was a positive charge, because +ve q would repel P and -ve q would attract P, thus both going in same direction. But if P is negative, the vectors should going left?

My way of thinking is the fields from the -ve and +ve particles propogate from their center around them and cancel eachother out at P because the particles are of the same charge mag but opposite, therefore same field magnitude at P and equal distance from P. Therefore no resultant.

#### Attachments

• Untitled.png
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