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The Electric Potential and Potential Difference Calculator will calculate the:

- Electric potential at a given distance from a point charge (electric potential inside a non-uniform field)
- Electric potential of a charged sphere at any distance from the centre of sphere
- The common electric potential of a number of spheres in contact to each other
- Potential difference between two different positions from a point charge
- Potential difference between two different positions from the centre of a charged sphere

the electric potential at a given distance from a point charge (electric potential inside a non-uniform field is V [Volt] |

the electric potential of a charged sphere at any distance from the centre of sphere is V [Volt] |

the common electric potential of a number of charged spheres in contact to each other is V [Volt] |

The potential difference between two different positions from a point charge is V [Volt] |

The potential difference between two different positions from the centre of a charged sphere is V [Volt] |

Electric potential at a distance from a point charge calculations |
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V_{p} = × 1/4π × ϵ × ϵ_{0}Q/rV _{p} = × 1/(4 × ) × × Q/V _{p} = × 1/ × × V _{p} = × 1/V _{p} = × V _{p} = |

Electric potential at a distance from a charged sphere calculations |

V_{p} = × 1/4π × ϵ × ϵ_{0}Q_{S}/R + xV _{p} = × 1/(4 × ) × × Q_{S}/ + V _{p} = × 1/ × × V _{p} = × 1/V _{p} = × V _{p} = |

Common electric potential of a number (n) of charged spheres in contact calculations |

V_{com} = × 1/4π × ϵ × ϵ_{0}/V _{com} = × 1/(4 × ) × × /V _{com} = × 1/ × × V _{com} = × 1/V _{com} = × V _{com} = |

Potential difference at two distinct positions from a point charge calculations |

∆V = × Q/4π × ϵ × ϵ_{0} - 1/b1/a∆V = × /(4 × ) × × - 1/1/∆V = × / × × - ∆V = × /∆V = × ∆V = |

Potential difference from centre of sphere calculations |

∆V_{C} = × Q_{S}/4π × ϵ × ϵ_{0} - 1/b1/a∆V _{C} = × /(4 × ) × × - 1/1/∆V _{C} = × / × × - ∆V _{C} = × /∆V _{C} = × ∆V _{C} = |

Electric Potential And Potential Difference Calculator Input Values |

Electric point charge (Q) C [Coulomb] |

Distance from the point charge (r) m [metre] |

Electric constant or vacuum permittivity (ϵ_{0}) C_{2}/N∙m_{2} |

Dielectric constant (ϵ) |

Archimedes constant (π) |

Electric charge of sphere (Q_{s}) C [Coulomb] |

Radius of charged sphere (R) m [metre] |

Distance from the point charge (r) m [metre] |

Distance from the surface of the charged sphere (x) m [metre] |

Distance from the initial position to the centre of sphere (a) m [metre] |

Distance from the final position to the centre of sphere (b) m [metre] |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each electric potential and potential difference calculation, the Electric Potential And Potential Difference Calculator will automatically calculate the results and update the Physics formula elements with each element of the electric potential and potential difference calculation. You can then email or print this electric potential and potential difference calculation as required for later use.

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Section 1: Units and Measurements

V_{p} = *1**/**4π × ϵ × ϵ*_{0} × *Q**/**r*

V_{p} = *1**/**4π × ϵ × ϵ*_{0} × *Q*_{S}*/**R + x*

V_{com} = *1**/**4π × ϵ × ϵ*_{0} × *Q*_{1}+Q_{2} + ... + Q_{n}*/**R*_{1} + R_{2} + ... + R_{n}

∆V = *Q**/**4π × ϵ × ϵ*_{0} × *1**/**b* - *1**/**a*

∆V_{C} = *Q*_{S}*/**4π × ϵ × ϵ*_{0} × *1**/**b* - *1**/**a*

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