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Spherical capacitor (isolated sphere)
C = 4πε₀R
Where: C = capacitance (F), R = range / radius / resistance, ε₀ = permittivity of free space (F/m)
Solved example
Given: R = 7, epsilon_0 = 5
Find: C (capacitance (F))
- Formula: C = 4·π·R·ε₀
- Substitute the values: C = 4·π·5·7
- Result: C = 439.822972
Answer: C = 439.822972
Calculator
How to calculate Spherical capacitor (isolated sphere)
- Write down the formula: C = 4πε₀R.
- Note the known values (R, ε₀).
- Substitute them and simplify to find C.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Spherical capacitor (isolated sphere)?
The formula is C = 4πε₀R, where C = capacitance (F), R = range / radius / resistance, ε₀ = permittivity of free space (F/m).
What is Spherical capacitor (isolated sphere) when R = 7, epsilon_0 = 5?
C = 439.822972. Substitute the values into C = 4πε₀R and simplify.