Two identical point charges are fixed on the -axis at and

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Two identical point charges +4 μC+4\,\mu \text{C} are fixed on the xx-axis at x=0x = 0 and x=0.80 mx = 0.80\,\text{m}. A −2 μC-2\,\mu \text{C} charge can be placed at one of three locations on the axis: point A at x=0.20 mx = 0.20\,\text{m}, point B at x=0.40 mx = 0.40\,\text{m}, or point C at x=1.20 mx = 1.20\,\text{m}. Ignoring any other interactions, at which location would the total electric potential energy of the three-charge system be the smallest (most negative)? (a) Point B (b) Point C (c) Point A (d) The total potential energy would be the same at all three points.

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