For a research project, a student needs a solenoid that produces an interior magnetic field of 0.0400 t. she decides to use a current of 1.00 a and a wire 0.500 mm in diameter. she winds the solenoid in layers on an insulating form 1.00 cm in diameter and 13.0 cm long. determine the number of layers of wire needed. (round your answer up to the nearest integer.)