Final answer:
The magnetic field created by the current-carrying power line at your house is approximately 1.44×10⁻⁷ Tesla.
Step-by-step explanation:
The magnetic field created by a current-carrying wire can be calculated using Ampere's law. Ampere's law states that the magnetic field around a wire is directly proportional to the current passing through the wire and inversely proportional to the distance from the wire. In this case, the power line carries a current of 152 A and is located 450 m away from your house.
By plugging these values into the formula, we can find the magnetic field:
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field in Tesla
μ₀ is the permeability of free space, approximately 4π×10⁻⁷ T·m/A
I is the current in Amperes
r is the distance from the wire in meters
By substituting the values, we can calculate the magnetic field at your house:
B = (4π×10⁻⁷ * 152) / (2π * 450)
B ≈ 1.44×10⁻⁷ T
Therefore, the magnetic field at your house created by the power line is approximately 1.44×10⁻⁷ Tesla.