How long does lightning last if N = 1.10 * 10 ^ 21 electrons have passed through the cross section

univerkov | September 9, 2021 | education

How long does lightning last if N = 1.10 * 10 ^ 21 electrons have passed through the cross section of its channel and the current strength is I = 8.0 * 10 ^ 3 A?

Initial data: N (the number of electrons passing through the cross section of the lightning channel) = 1.1 * 10 ^ 21 electrons; I (value of the current in the lightning channel) = 8 * 10 ^ 3 A.

Reference values: e (charge of one electron) = 1.6 * 10 ^ -19 Cl.

1) Determine the charge that passed through the lightning channel: q = N * e = 1.1 * 10 ^ 21 * 1.6 * 10 ^ -19 = 176 C.

2) Let’s calculate the duration of a lightning discharge: t = q / I = 176 / (8 * 10 ^ 3) = 22 * 10 ^ -3 s = 22 ms.

Answer: The lightning will last 22ms.

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