Calculating Earth's Capacity as a Conductor

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SUMMARY

The discussion centers on calculating the Earth's capacity as a spherical conductor with a diameter of 12.8 x 103 km. The formula used for this calculation is C = Aε0/d, where A represents the surface area of the sphere. Participants clarified that the surface area should be calculated using the formula 4πr2 instead of πr2. The radius of the Earth is essential for determining the capacity accurately.

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  • Understanding of basic physics concepts related to conductors
  • Knowledge of the formula for the surface area of a sphere
  • Familiarity with the permittivity of free space (ε0)
  • Basic mathematical skills for calculations involving π and exponents
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  • Research the concept of capacitance in spherical conductors
  • Learn how to calculate the surface area of a sphere using the formula 4πr2
  • Explore the implications of Earth's conductivity in geophysics
  • Investigate the role of permittivity of free space (ε0) in electrical calculations
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Students in physics, electrical engineers, and anyone interested in geophysics and the electrical properties of Earth.

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 [itex]\pi r^2[/itex]. You need to find the outer surface area...what is the surface area of a sphere?
 
got it...! thanks :D..
 

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