Final answer:
The magnetic field strength produced by a 1.0 kA current in a high power line at a distance of 10 m from the wire is 2 x 10^-5 T.
Step-by-step explanation:
The strength of the magnetic field at a distance from a long straight current-carrying wire can be calculated using the Ampère's Law, specifically the Biot-Savart Law. The equation for the magnetic field B at a distance r from a long straight wire carrying a current I is B = (µ0I)/(2πr), where µ0 is the permeability of free space (µ0 = 4π x 10-7 T·m/A). For a current of 1.0 kA (1000 A) and a distance of 10 m, the strength of the magnetic field at the ground is:
B = (µ0 × 1000 A) / (2π × 10 m) = (4π x 10-7 T·m/A × 1000 A) / (2π × 10 m) = 2 x 10-5 T
Thus, a high power line carrying a current of 1.0 kA produces a magnetic field of 2 x 10-5 T at a distance of 10 m from the wire.