A lightning bolt produces a rapidly varying magnetic field. If the bolt strikes

Question

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 shown in the figure below.

What voltage is induced in a 1.10 m diameter loop 60.0 m from a 2.00

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 shown in the figure below. What voltage is induced in a 1.10 m diameter loop 60.0 m from a 2.00A?106 A lightning strike, if the current falls to zero in 25.0 ?s? (Discuss circumstances under which such a voltage would produce noticeable consequences.)

Explanation / Answer

Here ,

at a distance of 60 m

the magnetic field due to a lightening bolt is

B = u0*I/(2*pi*d)

B = u0*2 *10^6 /(2*pi*60)

B = 6.67 *10^-3 T

Now , induced emf = change in flux/time

induced emf = pi*(1.1/2)^2 * (6.67 *10^-3)/25*10^-6

induced emf = 253.4 V

the induced voltage in the loop is 253.4 V

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