In what appears to be a single lightning bolt, there are typically several distinct strokes over the same path, each lasting on the order of 10−4 s, with an interval of about 0.05 s between them. The duration of the several strokes is about 0.20 s. Thus, although the peak current may reach a maximum of 20,000 A, the average current over the 0.20 s is much less—typically about 120 A upward. Find the charge transferred to one point on the earth's surface during a typical 0.20 s discharge.

College Physics
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Author:Paul Peter Urone, Roger Hinrichs
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Chapter20: Electric Current, Resistance, And Ohm's Law
Section: Chapter Questions
Problem 60PE: Integrated Concepts (a) What energy is dissipated by a lightning bolt having a 20,000-A current, a...
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In what appears to be a single lightning bolt, there are typically several distinct strokes over the same path, each lasting on the order of 10−4 s, with an interval of about 0.05 s between them. The duration of the several strokes is about 0.20 s. Thus, although the peak current may reach a maximum of 20,000 A, the average current over the 0.20 s is much less—typically about 120 A upward. Find the charge transferred to one point on the earth's surface during a typical 0.20 s discharge.

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Step 1

The charge transferred to one point on the earth's surface during a typical discharge = 0.20 s

The average current over the 0.20 s = 120 A upward.

 

We know, I = Q/t (current = charge / time)

Therefore, Q = It

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