The capacitance of two concentric conducting shells of radius 5 m and 2 m is
Question
The capacitance of two concentric conducting shells of radius 5 m and 2 m is
Solution
The capacitance (C) of two concentric conducting shells can be calculated using the formula:
C = 4πε₀ (r₁r₂ / r₂ - r₁)
where:
- ε₀ is the permittivity of free space (approximately 8.85 x 10^-12 F/m),
- r₁ is the radius of the inner shell,
- r₂ is the radius of the outer shell.
Given that r₁ = 2 m and r₂ = 5 m, we can substitute these values into the formula:
C = 4πε₀ (2*5 / 5 - 2) = 4πε₀ (10 / 3) = 4 * 3.14159 * 8.85 x 10^-12 * 10/3 = 37.6991 * 8.85 x 10^-12 = 3.33 x 10^-10 F
So, the capacitance of the two concentric conducting shells is approximately 3.33 x 10^-10 Farads.
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