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Electric Potential Electric Potential Difference: ⇒ the work done by the electric force as a charge moves from A to B is given by: WAB = EPE A − EPE B = −ΔEPE electric potential: V = EPE q * potential is a scalar not a vector ⇒ the potential of a point charge is given by: V = kq assuming V = 0 at r = ∞ r * include the sign of the charge when calculating V ⇒ positive charges accelerate from a region of higher potential to a region of lower potential (opposite is true for negative charges) equipotential surface: a surface in which the electric potential is the same everywhere E=− ΔV Δs ⇒ electric field depends upon the rate of change of electric potential with position ⇒ electric potential decreases as one moves in the direction of the electric field Electric Potential Energy: ⇒ From conservation of energy: 1 mv 2 + EPE = 1 mv 2 + EPE i f 2 i 2 f EPE = qV ⇒ the electric potential energy between 2 point charges is given by: EPE = kq1q2 r * include the signs of the charges when calculating EPE