It is desired to construct a solenoid that has a resistance of 2.86Ω (at 20oC) and produces a magnetic field at its center of 0.0413 T when it carries a current of 1.04 Amp. The solenoid is to be constructed from copper wire having a diameter of 1.12 millimeter.
The resistivity of the copper is 1.7x10^(-8)Ω.m. Calculate the number of turns of wire needed if the radius of the solenoid is to be 0.52 centimeter and calculate the length of the solenoid in centimeter.