A bolt of lightning strikes the ground 200 m from a conducting loop oriented ver

Question

A bolt of lightning strikes the ground 200 m from a conducting loop oriented vertically and with the plane of the loop containing the lightning strike. The radius R of the circular loop is 0.80 m and the current I in the lightning bolt falls from 6.02

A bolt of lightning strikes the ground 200 m from a conducting loop oriented vertically and with the plane of the loop containing the lightning strike. The radius R of the circular loop is 0.80 m and the current I in the lightning bolt falls from 6.02times106 A to zero in 10.5 ?s. (See figure below.) Let's model the lightning bolt as a thin straight current-carrying conductor that is oriented vertically.The lightning bolt generates a magnetic field at a radial distance r. As the size of the conducting loop is much smaller than its distance from the lightning bolt, we can assume that the magnetic field from the lightning bolt is approximately constant across the loop's area. Calculate the maximum possible magnetic flux through the loop during the lightning strike

Explanation / Answer

B = u0I/2pi R

B = 2*10^-7 * 6.02*(10^6)/0.8    = 1.505 T

flux = BA cos theta = 1.505* 2*3.14* 0.8*200 = 1512.224 T-m^2

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