A certain solenoid consists of 100 turns of wire and has a length of 10.0 cm.
(a) Find the magnitude of the magnetic field inside the solenoid when it carries a current of 0.500 A.
(b) What is the momentum of a proton orbiting inside the solenoid in a circle with a radius of 0.020 m? The axis of the solenoid is perpendicular to the plane of the orbit.
(c) Approximately how much wire would be needed to build this solenoid? Assume the solenoid's radius is 5.00 cm. please be sure to include all equations and step by step detail.