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 × 1 0 6 m 6.4 \times 10^{6} \text{m}

  • ϵ 0 = 8.85 × 1 0 − 12 F m \epsilon_{0} = 8.85 \times 10^{-12} \dfrac{F}{m}


The answer is 1138.8147.

Kunal Joshi by Kunal Joshi , 24, India

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1 solution

Suresha Hd
Jun 25, 2014

It can be solved by using the formula 'C=ε0A/d' where 'A' is area of either of the plates and 'd' is distance between the plates and 'C' is the capacitance of capacitor. The area can be found using radius which is in this case radius of Earth. Standard substitution can be done to get , d=1138.81m

1 Helpful 0 Interesting 0 Brilliant 0 Confused

@Kunal Joshi and @suresha hd how do you derive this pls explain?

Mardokay Mosazghi - 6 years, 7 months ago

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You can refer to the following link:

http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Capacitors/ParallCap.html

It has a good derivation of parallel plate capacitor's capacitance. @Mardokay Mosazghi

Kunal Joshi - 6 years, 7 months ago

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