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Electric Potential from Point Charge

Electric Potential from Point Charge
\[V=k\frac{q}{r}\]

Variables

Velectric potential (V)
kCoulomb constant (N*m^2/C^2)
qpoint charge (C)
rdistance from charge (m)

Description

What is this formula?

This formula calculates the electric potential generated by a point charge at a given distance.


When to use it

Use it when analyzing electric potential energy and voltage distributions around isolated charges.


Example

Data:


k = 8.99e9 N*m^2/C^2

q = 3e-6 C

r = 0.50 m


Formula:


V = k*q/r


Substitution:


V = (8.99e9*3e-6)/0.50


Result:


V = 5.39e4 V


Applications

Electrostatics, capacitor analysis, electric potential mapping, particle physics, and electrical engineering.

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