Electric Potential and Potential Difference Calculator

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

Electric Potential and Potential Difference Calculator
Number of Spheres in the system (min 1, max 30)
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Calculator Precision (Decimal Places)
Electric point charge (Q) C
Distance from the point charge (r) m
Electric constant or vacuum permittivity (ϵ₀) C₂/N∙m₂	× 10 power of
Dielectric constant (ϵ)
Archimedes constant (π)
Electric charge of sphere (Q_s) C
Radius of charged sphere (R) m
Distance from the point charge (r) m
Distance from the surface of the charged sphere (x) m
Distance from the initial position to the centre of sphere (a) m
Distance from the final position to the centre of sphere (b) m

Electric Potential and Potential Difference Calculator Results (detailed calculations and formula below)
Electric potential at a distance from a point charge calculations
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]
V_p = 1/4π × ϵ × ϵ₀ × Q/r V_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 × ϵ₀ × **Q_S/R + x** V_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 × ϵ₀ × / 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 × ϵ₀ × 1/b - 1/a ∆V = /(4 × ) × × × 1/ - 1/ ∆V = / × × × - ∆V = / × ∆V = × ∆V =
Potential difference from centre of sphere calculations
∆V_C = **Q_S/4π × ϵ × ϵ₀ × 1/b - 1/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 (ϵ₀) C₂/N∙m₂
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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Discover Physics with free Physics Revision Notes and Physics Calculator: Electric Potential And Potential Difference. This image shows the properties and electric potential and potential difference formula for the Electric Potential And Potential Difference. This 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 and more

Electric potential at a distance from a point charge Formula and Calculation

V_p = 1/4π × ϵ × ϵ₀ × Q/r

Electric potential at a distance from a charged sphere Formula and Calculation

V_p = 1/4π × ϵ × ϵ₀ × Q_S/R + x

Common electric potential of a number n of charged spheres in contact Formula and Calculation

V_com = 1/4π × ϵ × ϵ₀ × Q₁+Q₂ + ... + Q_n/R₁ + R₂ + ... + R_n

Potential difference at two distinct positions from a point charge Formula and Calculation

∆V = Q/4π × ϵ × ϵ₀ × 1/b - 1/a

Potential difference from centre of sphere Formula and Calculation

∆V_C = Q_S/4π × ϵ × ϵ₀ × 1/b - 1/a

Electrostatics Physics Tutorials associated with the Electric Potential And Potential Difference Calculator

The following Physics tutorials are provided within the Electrostatics section of our Free Physics Tutorials. Each Electrostatics tutorial includes detailed Electrostatics formula and example of how to calculate and resolve specific Electrostatics questions and problems. At the end of each Electrostatics tutorial you will find Electrostatics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Electrostatics and test your knowledge of Physics by answering the test questions on Electrostatics.

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