It is desired to construct a solenoid that will have a resistance of5.20(at 20°C) and produce a magnetic field of 4.00multiplied by10-2T at its center when it carries a current of3.40A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following.
(a) the number of turns of wire needed
turns
(b) the length the solenoid should have
cm