Spherical Capacitor Calculator

Free calculate capacitance of spherical capacitors. determine capacitance from inner radius, outer radius, and permittivity using c = 4πε₀r₁r₂/(r₂-r₁).

Input Parameters

Vacuum: 1.0, Air: ~1.0, Water: 80

Results

Enter radii to calculate capacitance

Spherical Capacitor Formula

Capacitance

C = 4πε₀εᵣr₁r₂ / (r₂ - r₁)

Where:

  • • C = capacitance (F)
  • • ε₀ = vacuum permittivity (8.85×10⁻¹² F/m)
  • • εᵣ = relative permittivity
  • • r₁ = inner radius (m)
  • • r₂ = outer radius (m)

Note

For r₂ >> r₁, this approximates a single sphere: C ≈ 4πε₀εᵣr₁

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