Lightning Current Discharge During A Storm

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{3}A_{32} Base Sequence = 12735 String Sequence = 12735 - 3 - 32 **

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Lightning Current Discharge During A Storm

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The surge of a discharge current of a cloud-to-ground lightning stroke during a storm takes 1 μs to reach its peak value of 100 kA. Thereafter, it dives to zero in 99 μs. (fig 2.33). Cloud-to-ground voltage before the discharge = 400 MV. There is an average of 18 such lightning strokes per hour during the storm.
Determine:

(a) The electric charge *Q*, discharged.

(b) The total energy *W* released and the average power P.

(c) The average power released in 1 hr.

**The string**:

(a) S_{7}P_{3}A_{32} (Force - Push).
**The math**:

Pj Problem of interest is of type *Force*. This is because we are interested in the amount of charge pushed to the ground by the lightning strokes. Problems of energy, charge, voltage. work, and power are of type *force*.

(a) Q = area under the graph of fig 2.33.

So, Q = (1/2)100 x 10^{-6} x 100 x 10^{3} = 5 C.

(b) Total energy released, W = energy stored in the electric field of the lightning stroke

Energy stored = (1/2)CV^{2} = (1/2)QV.

So, Energy released W = (1/2)QV = (5/2) x 4 x 10^{2} x 10^{6} = 10^{9 J}.

Duration of a single discharge = 100 μ secs

So, average power, P = (10^{9})/(100 x 10^{-6}) = 10^{13} Watts.

(c) Average power in 1 hour = (Total Energy x 18)/1hr
= (10^{9} x 18)/(36 x 10^{2} secs)

So, Average power in 1 hour = 5 MW.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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