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The earth\'s surface and the upper atmosphere can be thought of as the spherical

ID: 1702517 • Letter: T

Question

The earth's surface and the upper atmosphere can be thought of as the spherical plates of a huge capacitor. However, it is a leaky capacitor, as a global current of 1500 amps is observed. If the charge on the upper plate totals 6*10^5 Coulombs, how long would it take to discharge the capacitor?

Recall the definition of the current is L= delta Q/delta L
where L is in amps(Coulombs per second", Q is charge, and t is time. In fact, the positive charges on the upper "plate" is maintained over times. What do you suppose replenishes this charge?

Explanation / Answer

From the given formula current L = deltaQ /delta t
The time taken to discharge the capacitor is
t = 6*10^5/1500

     = 400 s

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