Point charges in plane

Electricity and Magnetism Level 2

As shown above, two point charges \(A\) and \(B\) are fixed on the \(x\)-axis with an equal distance of \(d\) from the origin \(O.\) \(A\) is charged negatively, while \(B\) is charged positively. The quantities of the electric charges on \(A\) and \(B\) are the same. The distances between the origin \(O\) and the two points \(P\) and \(Q\) on the \(y\)-axis are also the same, which is \(d.\) Which of the following is correct?

a) The electric field intensities at \(P\) and \(Q\) are the same.

b) The direction of the electric field at \(O\) is the \(-x\) direction.

c) If we move the point charge \(A\) to \(O\), then the directions of the electric fields at \(P\) and \(Q\) are the same.

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