Physics

Spherical Capacitor Calculator

Find the capacitance of two concentric spheres.

Inner radius

Outer radius

Calculated Output

Capacitance (F) 0

Capacitance (pF) 33.38

Formula: C = 4πε₀·(a·b) ÷ (b − a)

Step-by-Step Breakdown

1. Values used:

2. Inner radius = 0.05

3. Outer radius = 0.06

5. Capacitance = 0F

6. Capacitance = 33.38pF

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The math behind it

C = 4πε₀·(a·b) ÷ (b − a). As the gap (b − a) shrinks, capacitance grows.

a = 5 cm, b = 6 cm → about 33.4 pF.

What if b is very large?

It approaches an isolated sphere of radius a: C = 4πε₀·a.