Electric Potential and Electric Energy


Electric potential energy is the change in potentialenergy as a certain charge is moved between two points

dividing the potential energy by the test charge gives electric potential, and has a value at every point in an electric field. Electric potential is abbreviated V. V is also a scalar quantity V = Pe/ q One volt is equal to one joule per coloum
Electric potential can be energy per charge, electric potential difference or voltage difference
the amount of work for moving a charge through an electric field at constant velocity is W = qdeltaV
The electric field can be seen as a measure of the rate of change with position of the electric potential.
An electron volt is the energy a charge-field system gains or loses when a charge of magnitude e is moved through a potentail difference of 1V. --------- 1eV = 1.6x10^-19

equipotential lines run perpendicular to field lines at any point, and electric field lines always point in the direction of decreasing electric potential.
- a system consisting of a + charge and an electric field loses electric potentail energy when the charge moves in the direction of the field
file:///Users/michael/Pictures/iPhoto%20Library/Modified/2012/May%2013,%202012/IMG_0772.jpg
no energy is required to move a charged object along an equipotential surface ---- NO POTENTIAL DIFFERENCE
electric potential of lines depend on distance from sources potential. the lines are parallel to charged parallel plates, they are in the concentric circles around single charges.
E = electric potential
as + charge moves with E Ue drops
as - charge moves against E Ue drops
drop in Ue causes kinetic energy to increase

a capacitor is a charge storing devise, two conducting parallel plates
plates become equally and poositely charged when capacitor is in a circuit
the charge on each plate is related to volts given by Q=VC, where c is the capacitance. C = the permittivity of space(8.85e-12)A/d
ΔV = U / q
  • Electric Potential Difference between two points in a uniform electric field: ΔV = -Ed
  • The electric potential created by a point charge at any distance r from the charge is: V = ke(q/r)
  • Electric Potential Energy of a system of two charged particles: U = ke (q1q2)/ r12
    • The voltage difference across a resistor is given by: ΔV = IR
    • Power given off by a low resistor: P = IΔV = I2R = V2/R