A physics student who needs a magnetic field for a project makes a solenoid coil from "magnet wire," which is copper wire coated with a very thin enamel insulation. (The insulation is so thin that you can ignore its thickness.) He chose 28-gauge wire, which is \(0.321 \mathrm{~mm}\) in diameter, and winds a solenoid that is \(50 \mathrm{~mm}\) in diameter and \(0.20 \mathrm{~m}\) long. He then runs a 3. 0-A current through the solenoid but is disappointed at how small the magnetic field magnitude is and horrified at how hot the magnet gets after a few minutes. Calculate the magnetic field magnitude and the rate at which energy is lost as thermal energy as the coil heats up. What would you suggest the student do to get a greater magnetic field and less thermal energy loss?