1. What is the Electric Potential Equation?

The electric potential equation \( V = - \int E \, dl \) relates the electric potential difference to the electric field and distance. It represents the work done per unit charge against the electric field to move a charge between two points.

2. How Does the Calculator Work?

The calculator uses the simplified electric potential equation:

Where:

• \( V \) — Electric potential (Volts)
• \( E \) — Electric field (Volts/meter)
• \( dl \) — Distance (meters)

Explanation: The negative sign indicates that the potential decreases in the direction of the electric field.

3. Importance of Potential Calculation

Details: Electric potential is fundamental in understanding electrical circuits, electrostatics, and electromagnetic theory. It helps determine energy storage in capacitors and predict charge movement.

4. Using the Calculator

Tips: Enter electric field in V/m and distance in meters. For uniform fields, this gives exact potential difference. For non-uniform fields, it provides an approximation.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a negative sign in the equation?
A: The negative sign indicates that the potential decreases in the direction of the electric field, following the convention that field lines point from high to low potential.

Q2: What are typical units for electric potential?
A: The SI unit is volts (V), equivalent to joules per coulomb (J/C).

Q3: When is this equation most accurate?
A: This simplified form is exact for uniform electric fields. For non-uniform fields, integration along the path is required.

Q4: How does this relate to voltage?
A: Electric potential difference is what we commonly call voltage between two points.

Q5: Can this be used for point charges?
A: For point charges, use \( V = kQ/r \) where k is Coulomb's constant, Q is charge, and r is distance from the charge.