An electricity and magnetism problem by Dhruv Patel
Electricity and Magnetism
Level
2
What is the capacity of the Earth?
711 micro farad
None Of These
711 pico farad
711 nano farad
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1 solution
The Capacity Of An Isolated Spherical Conductor is C=4π(ε0 )r the radius of earth is 6400 km = 6.4 (10^6) m 1/4π(ε0 ) = 9 (10^9) therefore 4π(ε0 )= 1/{9 (10^9)} putting this values in above equation, we get C=[1/{9 (10^9)}] [6.4 (10^6)] C=0.711*[10^(-3)] farad therefore we get C=711 MICRO FARAD