A solenoid is used to produce a magnetic field of T at its center. Its radius is R cm, and its length is L. In order to prevent excessive heating, the maximum current that can carry is A. What is the minimum value of its turn density that will allow it to carry the maximum current safely? What length of wire is required? Assume there are no spaces between each turn.

A solenoid is used to produce a magnetic field of T at its center. Its radius is R cm, and its length is L. In order to prevent excessive heating, the maximum current that can carry is A. What is the minimum value of its turn density that will allow it to carry the maximum current safely? What length of wire is required? Assume there are no spaces between each turn.