Electric Potential Calculator Formula

Understand the math behind the electric potential calculator. Each variable explained with a worked example.

Formulas Used

Electric Potential

potential = 8.9875e9 * charge / distance

Variables

VariableDescriptionDefault
chargeCharge(C)0.000001
distanceDistance from Charge(m)0.1

How It Works

Electric Potential

Electric potential (voltage) at a point is the work done per unit charge to bring a positive test charge from infinity to that point.

Formula

V = k * Q / r

Unlike electric field, potential is a scalar quantity. It can be positive or negative depending on the sign of the source charge.

Worked Example

Potential 10 cm from a 1 microcoulomb charge.

charge = 0.000001distance = 0.1
  1. 01V = k * Q / r
  2. 02V = 8.9875e9 * 1e-6 / 0.1
  3. 03V = 8987.5 / 0.1
  4. 04V = 89,875 V

Ready to run the numbers?

Open Electric Potential Calculator