Question

has current 150 A and a height of 6.0 m above the ground, what magnetic field does the line produce at ground level

Answer 1

Complete question:

Currents in dc transmission lines can be 100 A or higher. Some people are concerned that the electromagnetic fields from such lines near their homes could pose health dangers. For a line that has current 150 A and a height of 6.0 m above the ground, what magnetic field does the line produce at ground level?

Answer:

The magnetic field the line produces at ground level is 5 x 10⁻⁶ T.

Step-by-step explanation:

Given;

current in the dc transmission line, I = 150 A

height above ground level, R = 6 m

The transmission line will be treated as current in a long straight wire.

Thus, the magnetic field produced at the ground level is given as magnetic field in a long straight conductor.

`B = (\mu_o I)/(2\pi R)`

where;

μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A

`B = (4\pi*10^(-7) * 150)/(2\pi * 6)\\\\B = 5*10^(-6) \ T`

Therefore, the magnetic field the line produces at ground level is 5 x 10⁻⁶ T.