Electric Potential
Interactive simulation — adjust parameters and watch the visualization update in real time.
How it works
Scalar **electric potential** from point charges: **V = Σ k qᵢ / r** (same plane, relative units). The heatmap uses **blue** for lower **V** and **red** for higher **V**. Near each charge the magnitude blows up — color limits are set from the rest of the plane so you can still see structure. **E⃗ = −∇V**, so field lines run **downhill** on this map for a positive test charge.
Key equations
V(r⃗) = Σ k qᵢ / |r⃗ − r⃗ᵢ| · E⃗ = −∇V