# Laplace's Equation in Electromagnetics

**Formula:** `ϕ = (ϕ_left + ϕ_right + ϕ_top + ϕ_bottom) / 4`

Laplace's Equation in the context of electromagnetics is a second-order partial differential equation. The equation reads ∇²ϕ = 0, where ϕ represents the electric potential. Solutions to Laplace's equation are referred to as harmonic functions. The formula provided here represents a discrete approximation typically used in finite difference methods where the potential at any given point in space is the average of the potential at its four adjacent points. Each parameter represents the electric potential at a point: ** potentialLeft**,

**,**

*potentialRight***, and**

*potentialTop***.**

*potentialBottom*Tags: Electromagnetics, Laplace S Equation, Electric Potential