Question

10. Lightning. The time profile of the discharge current in a typical cloud to ground lightning stroke can be modelled by a triangle. The surge takes 1 us to reach the peak value of 100 kA and is then reduced to zero in 99 us. If the cloud-to-ground voltage before the discharge is 400 MV, find the electrical charge Q discharged, and the total energy W released, if there is an average of 20 such lightening stokes per hour. (a) Q=10 C; W = 2x109 J (b) Q= 5 C; W = 1x10° J (c) Q= 1 C; P= 5 MW (d) Q = 5 C; P= 1x1013 W

Answer 1

riven: - Gloud to ground lightning modeled by a triangle We know that a load ovira charge arge @ = cho son lookA 1 Energy (W) = 1 cv? Spiselah oši I = do dt, tani loous charge (&) = f I dt. from figure 8 = 1x 99 x 106 x 100x100 18= 4.85 cm 567 0 Also, voltage before discharge =400 MV. => capacitance (S) = A X10 – 12.5x1045 [C-12.57109 FL Energy (W) = { cv2 = x 125x10*9* (400x16 I W = (181095 4

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