Consider the parallel-plate capacitor formed by theEarth and a cloud layer. (The

Question

Consider the parallel-plate capacitor formed by theEarth and a cloud layer. (The cloud layer is 850 m above the Earthand has an area of 0.7 km2 = 0.7 106m2.) Assume this capacitor will discharge (i.e., producelightning) when the electric field strength between the platesreaches 2.9 106 N/C. What is the energy released if thecapacitor discharges completely during a lightning strike?

J Consider the parallel-plate capacitor formed by theEarth and a cloud layer. (The cloud layer is 850 m above the Earthand has an area of 0.7 km2 = 0.7 106m2.) Assume this capacitor will discharge (i.e., producelightning) when the electric field strength between the platesreaches 2.9 106 N/C. What is the energy released if thecapacitor discharges completely during a lightning strike?

J

Explanation / Answer

Energy stored in the capacitor is discharges completelyduring a lightning strike. i.e.,                  U = 0.5o E2 Ad Given that         E = 2.9 x 106N/C.         A = 0.7 x106 m2.         d = 850 m         o = 8.9x 10-12 C2 / N-m2 Substitute values and solve for U.

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