Unlock the secrets of electric fields with our Capacitance of Concentric Spheres Calculator. Quickly determine the capacitance of spherical capacitors by inputting the inner and outer radii and the dielectric's relative permittivity. Ideal for students, engineers, and hobbyists needing precise electrical calculations. Simplify complex physics problems!
Formula:
The capacitance (C) of concentric spheres is given by the formula:
C = 4πε / (1/a - 1/b)
Where:
- C = Capacitance (in Farads)
- ε = Permittivity of the dielectric material (in Farads/meter). This is calculated as ε = ε₀ * εᵣ
- ε₀ = Permittivity of free space (approximately 8.854 x 10-12 F/m)
- εᵣ = Relative Permittivity of the dielectric material (unitless)
- a = Inner radius of the sphere (in meters)
- b = Outer radius of the sphere (in meters)