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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