Calculating Earth's Capacity as a Conductor

In summary, Earth's capacity as a conductor is calculated using the formula C = 4πε₀R, where C is the capacity, ε₀ is the permittivity of free space, and R is the radius of the Earth. The unit of measurement for this capacity is farads (F). It is important to calculate Earth's capacity as a conductor in order to understand the behavior of electric fields on the Earth's surface and design and optimize electrical systems and equipment. Earth's capacity as a conductor also plays a crucial role in lightning strikes, as the Earth's surface acts as a large conductor and can absorb and dissipate the energy from a lightning strike. While Earth's capacity as a conductor can change slightly, these changes are minimal
  • #1
lionel messi.
21
0
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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  • #2
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?
 
  • #3
got it...! thanks :D..
 

Related to Calculating Earth's Capacity as a Conductor

1. How is Earth's capacity as a conductor calculated?

The Earth's capacity as a conductor is calculated by using the formula C = 4πε₀R, where C is the capacity, ε₀ is the permittivity of free space, and R is the radius of the Earth.

2. What is the unit of measurement for Earth's capacity as a conductor?

The unit of measurement for Earth's capacity as a conductor is farads (F).

3. Why is it important to calculate Earth's capacity as a conductor?

Calculating Earth's capacity as a conductor is important because it helps us understand the behavior of electric fields on the Earth's surface. It also allows us to design and optimize electrical systems and equipment, such as power grids and lightning protection systems.

4. How does Earth's capacity as a conductor affect lightning strikes?

Earth's capacity as a conductor plays a crucial role in lightning strikes. The Earth's surface acts as a large conductor, which attracts the lightning strike and dissipates the electrical energy harmlessly into the ground. The higher the Earth's capacity, the better it can absorb and dissipate the energy from a lightning strike.

5. Can Earth's capacity as a conductor change?

Earth's capacity as a conductor can change slightly due to various factors such as changes in the Earth's surface or atmospheric conditions. However, these changes are minimal and do not significantly affect the overall calculation of Earth's capacity as a conductor.

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