Electric Potential Calculator Formula

Electric Potential Formula:

\[ V = k \times \frac{q}{r} \]

Electric Potential (V):

1. What is an Electric Potential Calculator?

Definition: This calculator computes the electric potential at a point due to a point charge using Coulomb's law.

Purpose: It helps students and professionals in physics and engineering determine the electric potential in various scenarios.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = k \times \frac{q}{r} \]

Where:

\( V \) — Electric potential (volts)
\( k \) — Coulomb's constant (8.99 × 10⁹ N·m²/C²)
\( q \) — Point charge (coulombs)
\( r \) — Distance from the charge (meters)

Explanation: The electric potential is directly proportional to the charge and inversely proportional to the distance from the charge.

3. Importance of Electric Potential Calculation

Details: Understanding electric potential is crucial for analyzing electric fields, circuit design, and electromagnetic applications.

4. Using the Calculator

Tips: Enter the charge in coulombs, distance in meters, and Coulomb's constant (default 8.99×10⁹ N·m²/C²). Distance must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Coulomb's constant?
A: It's a proportionality constant in Coulomb's law, approximately 8.99 × 10⁹ N·m²/C² in a vacuum.

Q2: Can I use this for multiple charges?
A: No, this calculator is for a single point charge. For multiple charges, you would sum the potentials from each charge.

Q3: What units should I use?
A: Use coulombs for charge, meters for distance, and the result will be in volts.

Q4: Why can't distance be zero?
A: At zero distance, the potential would be infinite, which is physically impossible for a point charge.

Q5: How does medium affect the calculation?
A: In different media, Coulomb's constant changes (divided by the relative permittivity of the medium).