Question
(a) A lightning bolt produces a rapidly varying magnetic field. If the bolt strikes the earth vertically and acts like a current in a long straight wire, it will induce a voltage in a loop aligned like that in Figure 23.57(b). What voltage is induced in a 1.00 m diameter loop 50.0 m from a $2.00\times 10^{6}\textrm{ A}$ lightning strike, if the current falls to zero in $25.0\textrm{ }\mu\textrm{s}$ ? (b) Discuss circumstances under which such a voltage would produce noticeable consequences.
1. $251\textrm{ V}$
2. Any generator or motor within 50.0 m of this lightning bolt might get destroyed. The coils typically have many turns of wire, resulting in even higher induced voltage, which would cauyse very high current. The high current would cause a lot of heat production very quickly (since $P = I^2R$), and this heat would raise the temperature of the wires to their melting point.

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 14 (Problems & Exercises)

In order to watch this solution you need to have a subscription.