Calculating Earth's Capacity as a Conductor

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To calculate Earth's capacity as a conductor, the relevant formula is C = Aε₀/d, where A represents the surface area of the sphere. The surface area of a sphere is calculated using the formula 4πr², not πr². The radius of Earth is needed for the calculation, which is half of its diameter (12.8 x 10^3 km). Participants clarified the correct formula and emphasized the importance of using the outer surface area in the calculation. Understanding these concepts is essential for accurately determining Earth's capacity as a conductor.
lionel messi.
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1. Homework Statement :

Taking Earth to be a spherical conductor of diameter 12.8x10^3 km.its capacity will be?



3. The Attempt at a Solution :
if Earth is to be taken as a conductor than i think following formula shall be used
C=Aeo/d
where A=pie r^2
but how i'll calculate distance?(if the above formulae will be used)
 
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Hi lionel :-p

d is the radius of Earth. But the area is not \pi r^2. You need to find the outer surface area...what is the surface area of a sphere?
 
got it...! thanks :D..
 
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