Answer:
15.68 C
Explanation:
[tex]\mu_0[/tex] = Vacuum permeability = [tex]4\pi\times 10^{-7}}\ H/m[/tex]
t = Time taken = [tex]1.4\times 10^{-3}\ s[/tex]
d = Distance of the lightning = 28 m
i = Current = charge / time
Magnetic field of wire
[tex]B=8\times 10^{-5}\ T[/tex]
[tex]B=\frac{\mu_0i}{2\pi d}\\\Rightarrow B=\frac{\mu_0\frac{q}{t}}{2\pi d}\\\Rightarrow q=\frac{B2\pi dt}{\mu_0}\\\Rightarrow q=\frac{8\times 10^{-5}\times 2 \pi \times 28\times 1.4\times 10^{-3}}{4\pi\times 10^{-7}}\\\Rightarrow q=15.68\ C[/tex]
The charge has flowed during the lightning bolt is 15.68 C
