Easily calculate the capacitance of two concentric spheres using this free online calculator. Whether you're an electrical engineer, physics student, or hobbyist, determine the electrostatic capacity of a spherical capacitor by providing the inner and outer radii and the dielectric constant. Get instant, accurate results in Farads for your circuit designs and academic problems.
Formula:
The capacitance (C) of two concentric spheres is given by the formula:
C = 4πε R₁ R₂ / (R₂ - R₁)
- C = Capacitance (Farads)
- π = Pi (approx. 3.14159)
- ε = Permittivity of the dielectric material (Farads/meter). Note: ε = K × ε0
- ε0 = Permittivity of free space (approx. 8.854 × 10-12 F/m)
- K = Dielectric Constant (unitless)
- R₁ = Inner Sphere Radius (meters)
- R₂ = Outer Sphere Radius (meters)