Estimate the magnitude of the magnetic field at ground level generated by an overhead AC power line service drop connecting a single home to a utility pole.

Respuesta :

Answer:

Explanation:

Magnetic field due to current carrying wire at a distance r from the  wire is

[tex]B=\frac{\mu_0I}{2r}---(1)[/tex]

In our case

[tex]I=\frac{I_0}{2}[/tex]

where,

I₀ = max current or peak current

and r = h (where h is the height of power line)

[tex]\therefore B=\frac{\mu (I_0/2)}{2h} \\\\=\frac{\mu_0 I_0}{4h} ----(2)[/tex]

put

h ≈ 370m

I₀ ≈ 3KA

[tex]B= \frac{(1.26*10^-^6)(3*10^3)}{4*(370)} \\\\=2.5*10^-^6 T[/tex]