Final answer:
To determine how far the Ground rod should be from a long straight wire to ensure the magnetic field is less than the Earth's field, one needs to solve the equation based on Ampere's law using the current in the wire and Earth's magnetic field strength.
Step-by-step explanation:
The question pertains to the magnetic field produced by a long straight conductor carrying current, which is a concept from Physics. According to the right-hand rule for straight conductors, the magnetic field (B) at a distance (r) from a long straight wire carrying a current (I) is given by B = (μ₀/2π) * (I / r), where μ₀ is the permeability of free space (4π x 10^-7 T·m/A). To find the distance where the magnetic field is equal to the Earth's magnetic field, we need to set B to 5.00 x 10^-5 T and solve for r.
Now, if we plug in the values for our case where I = 150 A, and solve for r, we get the following equation:
5.00 x 10^-5 T = (4π x 10^-7 T·m/A) / (2π) * (150 A / r)
After simplifying and solving for r, we find the distance at which the magnetic field due to the current is equal to that of the Earth's. The result will be given in feet, and that would be the maximum distance the Ground rod should be placed away from the LS (long straight wire).