Calculate the capacitance of a spherical capacitor.
Input Parameters
Calculation Results
Enter parameters to calculate (b > a)
Quick Reference
aInner radius
bOuter radius
ε08.854 × 10^-12 F/m
εrRelative permittivity
Overview
A spherical capacitor consists of two concentric spherical conducting shells. The capacitance depends on the radii of the shells and the dielectric material between them.
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Pro Tips
The inner radius 'a' must be smaller than the outer radius 'b'.
ε0 (vacuum permittivity) is approximately 8.854 x 10^-12 F/m.
The formula is C = 4 * π * ε0 * εr * (a * b) / (b - a).
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Fun Facts
"The Earth itself can be thought of as a spherical capacitor, with the ionosphere as one plate and the ground as the other."
"Increasing the dielectric constant of the material between the shells increases the capacitance."
"If the outer radius 'b' goes to infinity, the capacitance becomes C = 4 * π * ε0 * εr * a (Isolated Sphere)."
