Electric Field Calculator (Gauss's Law)

Electric field and potential of a point charge, infinite line, infinite plane or charged conducting sphere.

Results

Electric field E—
Potential V (point/sphere)—
Force on a 1 µC test charge—

How to use the Electric Field Calculator

  1. Enter or select: Charge distribution, Charge Q, λ or σ, Distance r, Sphere radius R.
  2. The results (Electric field E, Potential V (point/sphere), Force on a 1 µC test charge) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • ∮ E·dA = Q/ε₀ (Gauss's law)
  • Point: E = Q/(4πε₀r²)
  • Line: E = λ/(2πε₀r)
  • Plane: E = σ/(2ε₀)
ExpressionApply operationsCalculated result