Two positive charges of magnitude q are each a distance d from the origin A of a coordinate system as shown above.

( Figure: h t t p : / / draw.to/DS0Qid)

At which of the following points is the electric field least in magnitude?

At which of the following points is the electric potential greatest in magnitude?

The answersto both questions are A but I don't know how to get these. Please help. Thank You.

1 answer

The electric field at point A is least in magnitude because the two charges have the same magnitude and are equidistant from point A, so the electric field vectors from each charge will cancel each other out.

The electric potential at point A is greatest in magnitude because the electric potential is the sum of the potentials from each charge, and since the charges have the same magnitude, the potential at point A will be twice the potential from either charge.
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