Despite your best efforts to return the cub, the EM-Boar tigers around Lakeview have started causing all sorts of problems. Last night, one of them came through Lakeview and tore down all the power lines. All the wires in town are chewed up and torn, and there are deep claw marks on the utility poles, which luckily are still standing. The residents of Lakeview are pretty spooked. Lakeview needs its power back as soon as possible.
Fortunately, there is a power plant by Springfield that is willing to help out the citizens of Lakeview. The manager of the power plant, Dr. Erma Cürd, has said that she can use two surviving power lines between the cities to supply the much needed power. Using some old blueprints, she found that the two powerlines are 5 km long, separated by 1.5 m, and are 5.5 m off the ground. Shown in the figure below. Dr. Cürd has a few options to setting up the power plant - she can set the power plant to send 837 A, 1167 A, 1500 A, or 1833 A through the two power lines.
The Lakeview electricians are concerned about the power lines themselves. They are concerned that the force from one wire on the other will end up moving them out of place. They have suggested that the force from one wire on the other must be under 1000 N, otherwise the wire will break out of its housing. However, in talking to the Lakeview citizen's council, they are concerned that that the power lines will create a magnetic field on the ground that is dangerous for people & may interfere with portable electronics. They have required that magnetic field on the ground be less than 30 $\mu T$.
The city of Lakeview needs your help! Evaluate the current options and produce a recommendation for Dr. Cürd based on the safety concerns of the Lakeview citizens & electricians.
Conceptual questions: