Question

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.

Answer 1

Step-by-step explanation:

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

`B=(\mu_0I)/(2r)---(1)`

In our case

`I=(I_0)/(2)`

where,

I₀ = max current or peak current

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

`\therefore B=(\mu (I_0/2))/(2h) \\\\=(\mu_0 I_0)/(4h) ----(2)`

put

h ≈ 370m

I₀ ≈ 3KA

`B= ((1.26*10^-^6)(3*10^3))/(4*(370)) \\\\=2.5*10^-^6 T`