Answer:
The resulting magnetic field is 5.021 x 10⁻⁵ T
Explanation:
Given;
current in the lightening bolt, I = 11800 A
distance from the bolt, r = 47 m
permeability of free space, μ₀ = 1.25664 × 10⁻⁶ T· m/A
Assume lightening bolt as long straight conductor, then the resulting magnetic field will be calculated as follows;
[tex]B = \frac{\mu_oI}{2 \pi r}[/tex]
where;
B is the resulting magnetic field
I is the current in the bolt
r is the distance from the bolt
Substitute the given values and calculate B
[tex]B = \frac{\mu_oI}{2 \pi r} \\\\B = \frac{1.25664 *10^{-6}*11800}{2 \pi (47)} \\\\B = 5.021 *10^{-5} \ T[/tex]
Thus, the resulting magnetic field is 5.021 x 10⁻⁵ T