Electrostatic Potential Energy of Point Charge or System of Charges Calculator

Calculate Electrostatic Potential Energy







Formula

The formula to calculate the Potential Energy of Point Charge (Ufree) is:

\[ U_{\text{free}} = \frac{[Coulomb] \cdot q1 \cdot q2}{r} \]

Where:

Definition

Potential Energy of Point Charge is the energy an object has due to its position or configuration in an electrostatic field.

Charge 1 is the quantity of electricity possessed by a body, measured in coulombs, and is a fundamental concept in electrostatics.

Charge 2 is the second point charge in an electrostatic system, used to calculate the electrostatic force or potential between two or more charges.

Separation between Charges is the distance between two point charges in an electrostatic field, affecting the electrostatic force between them.

How to calculate Potential Energy of Point Charge

Let's assume the following values:

Using the formula:

\[ U_{\text{free}} = \frac{[Coulomb] \cdot 0.04 \cdot 0.03}{2119.85} \]

Evaluating:

\[ U_{\text{free}} \approx 5087.65344281907 \]

The Potential Energy of Point Charge is approximately 5087.65344281907 Joules.

Conversion Chart

Charge 1 (q1) (Coulombs) Charge 2 (q2) (Coulombs) Separation (r) (Meters) Potential Energy (Ufree) (Joules)
0.02 0.01 2000 898.75
0.02 0.01 2119.85 847.94
0.02 0.01 2200 817.05
0.02 0.03 2000 2,696.25
0.02 0.03 2119.85 2,543.81
0.02 0.03 2200 2,451.14
0.02 0.05 2000 4,493.75
0.02 0.05 2119.85 4,239.69
0.02 0.05 2200 4,085.23
0.04 0.01 2000 1,797.50
0.04 0.01 2119.85 1,695.87
0.04 0.01 2200 1,634.09
0.04 0.03 2000 5,392.50
0.04 0.03 2119.85 5,087.62
0.04 0.03 2200 4,902.27
0.04 0.05 2000 8,987.50
0.04 0.05 2119.85 8,479.37
0.04 0.05 2200 8,170.45
0.06 0.01 2000 2,696.25
0.06 0.01 2119.85 2,543.81
0.06 0.01 2200 2,451.14
0.06 0.03 2000 8,088.75
0.06 0.03 2119.85 7,631.44
0.06 0.03 2200 7,353.41
0.06 0.05 2000 13,481.25
0.06 0.05 2119.85 12,719.06
0.06 0.05 2200 12,255.68