Capacitor of size of the Earth!!!

Electricity and Magnetism Level 2

I want to make a parallel plate capacitor using circular discs having radius equal to radius of Earth(Not really!) and having capacitance equal to 1 F. Then what must be the distance between those two discs in metre ?

Assumption:

Radius of Earth = \( 6.4 \times 10^{6} \text{m} \)
\( \epsilon_{0} = 8.85 \times 10^{-12} \dfrac{F}{m} \)

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