A point charge is initially at rest at point A

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

Problem

A 3.0 μC3.0\,\mu\text{C} point charge is initially at rest at point A, where the electric potential is 40 V40\,\text{V}. The charge is released and accelerates freely to point B, where the potential is 10 V10\,\text{V}. Immediately upon arrival at B, an external agent applies a force that moves the charge slowly to point C, where the potential is again 40 V40\,\text{V}, bringing the charge to rest at C. What is the total work done by the external agent over the entire trip from A to C? (a) 90 μJ90\,\mu\text{J} (b) −90 μJ-90\,\mu\text{J} (c) 0 μJ0\,\mu\text{J} (d) 180 μJ180\,\mu\text{J}

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