Physics

Physics

Problem

Positive charges +Q+Q and +2Q+2Q are situated at C(3 cm,0)C(3\,\text{cm},0) and D(0,4 cm)D(0,4\,\text{cm}). Without performing detailed calculations, state in which quadrant the net electric field at the origin will point and briefly justify your answer.
Intuitive explanation

The key is to sketch the field contributions from each charge separately, then add them as vectors. The +Q+Q charge at CC pushes a test charge leftward (toward negative xx), while the stronger +2Q+2Q charge at DD pushes it downward (toward negative yy). Since +2Q+2Q is twice as strong and only slightly farther away, its downward push dominates the leftward push, so the net field points into the third quadrant.

Intuitive explanation

The key is to sketch the field contributions from each charge separately, then add them as vectors. The +Q+Q charge at CC pushes a test charge leftward (toward negative xx), while the stronger +2Q+2Q charge at DD pushes it downward (toward negative yy). Since +2Q+2Q is twice as strong and only slightly farther away, its downward push dominates the leftward push, so the net field points into the third quadrant.

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