Equation Dump for electric potential and potential energy
Entry posted by bdavis
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du= -F(dl)
dv=(du/q)
dv=(-E)(dl)
delta V= -integral (E)(dl)
U=qV
1eV=1.6X10^-19
U=K(q1)(Q2)/r
V=KQ/Square root((x^2) + a^2)) (V=0 at abs(X) = infinity
For a spherical shell of charge:
V= KQ/r, r>R (V=0 at r=infinity)
V=KQ/R r
For an infinite line charge V= 2k(lamda)ln(R_ref/R) for (V=0 at r=R_ref)
Charge on a Nonspherical conductor:
On a conductor of arbitraty shape, the surface charge density, (sigma), is greatest at points where the radius of curvature is smallest.
Dielectric Breakdown:
The amount of charge that can be placed on a conductor is limited by the fact that molecules of the surrounding medium undergo dielectric breakdown at very high electric fields, causing the medium to become a conductor.
Dielectric Strength:
The dielectric strength is the magnitude of the electric field at which dielectric breakdown occurs. The dielectric strength of air is E_max = 3 x 10^6 V/m = 3MV/m
Not all of the equations are listed because some are required to be derived as parts on the AP test so by knowing the basic relationships and equations, deriving the rest of them become understandable and simple.
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