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== Common formulas== {| class="wikitable" |+ !Charge configuration !Figure ! colspan="2" |Electric potential |- |Infinite wire | [[File:Charged infinite wire problem.svg|frameless|235x235px]] | colspan="2" |<math>V = -\frac{\lambda}{2\pi\varepsilon_0}\ln x,</math> where <math>\lambda</math> is uniform linear charge density. |- |Infinitely large surface |[[File:Charged infinite plane problem.svg|frameless|235x235px]] | colspan="2" |<math>V = -\frac{\sigma x}{2\varepsilon_0},</math> where <math>\sigma</math> is uniform surface charge density. |- |Infinitely long cylindrical volume |[[File:Charged infinite cylinder problem.svg|frameless|235x235px]] | colspan="2" |<math>V = -\frac{\lambda}{2\pi\varepsilon_0}\ln x, </math> where <math>\lambda</math> is uniform linear charge density. |- |Spherical volume |[[File:Charged solid sphere problem.svg|frameless|235x235px]] |<math>V = \frac{Q}{4\pi\varepsilon_0x}, </math> outside the sphere, where <math>Q</math> is the total charge uniformly distributed in the volume. |<math>V = \frac{Q(3R^2-r^2)}{8\pi\varepsilon_0R^3},</math> inside the sphere, where <math>Q</math> is the total charge uniformly distributed in the volume. |- |Spherical surface |[[File:Charged spherical surface problem.svg|frameless|235x235px]] |<math>V = \frac{Q}{4\pi\varepsilon_0x},</math> outside the sphere, where <math>Q</math> is the total charge uniformly distributed on the surface. |<math>V = \frac{Q}{4\pi\varepsilon_0R},</math> inside the sphere for uniform charge distribution. |- |Charged Ring |[[File:Charged ring problem.svg|frameless|235x235px]] | colspan="2" | <math>V = \frac{Q}{4\pi\varepsilon_0\sqrt{R^2+x^2}},</math> on the axis, where <math>Q</math> is the total charge uniformly distributed on the ring. |- |Charged Disc |[[File:Charged disc problem.svg|frameless|235x235px]] | colspan="2" | <math>V = \frac{\sigma}{2\varepsilon_0} \left[\sqrt{x^2+R^2} - x\right],</math> on the axis, where <math>\sigma</math> is the uniform surface charge density. |- |Electric Dipole |[[File:Electric dipole - axial and equatorial problem.svg|frameless|235x235px]] | <math>V = 0,</math> on the equatorial plane. | <math>V = \frac{p}{4\pi\varepsilon_0x^2},</math> on the axis (given that <math>x \gg d</math>), where <math>x</math> can also be negative to indicate position at the opposite direction on the axis, and <math>p</math> is the magnitude of [[electric dipole moment]]. |}
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