The capacitance of earth, treating it as a spherical conductor of radius 6400 km is

Explanation

To find the capacitance of the Earth, we can treat it as a spherical conductor. The formula for the capacitance \( C \) of a spherical conductor is given by:

\[ C = 4 \pi \epsilon_0 \frac{r_1 r_2}{r_2 - r_1} \]

Where:
- \( \epsilon_0 \) is the permittivity of free space, approximately \( 8.85 \times 10^{-12} \, \text{F/m} \).
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