In lightning storms, the potential difference between tin earth and the bottom o

Question

In lightning storms, the potential difference between tin earth and the bottom of the clouds can be as high as 35 million volts. The bottoms of the clouds are typically about 1500 m above the surface of the earth and have an area of 10^8 m^2. Model the earth-cloud system as a parallel plate capacitor. Find the capacitance of the earth-cloud system. Find the charge stored on the "capacitor" Find the energy stored in the "capacitor". Consider the Hat aluminum disk at tin end of a rod swinging into and the page as shown the in the diagrams below. Carefully argue that there are induced eddy currents in the the in the direction shown, for each case. Carefully determine the direction of the magnetic force on the disk in each case

Explanation / Answer

1) V = 35 x 106 V , d = 1500 m, A = 108 m2

A) C = 8.85 x 10-12 x 108/1500 = 590 x 10-9 F

B) Q = CV = 590 x 10-9 x 35 x 106 = 20.65 C

C) E = 0.5QV = 0.5 x 20.65 x 35 x 106 = 3.61375 x 108 J

2) current shown are correct in both the cases according to lenz law.

also force in both the cases is in opposite direction to the motion of the disk

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