An alpha particle (two protons and two neutrons, with a mass of 6.68 × 10-27 kg) moves in a circle inside a solenoid. The plane of the circle is perpendicular to the central axis of the solenoid, approximately parallel to the loops, and its radius is 5.00 cm. The speed of the particle is 2250 m/s. (a) What is the strength of the magnetic field inside the solenoid? (b) The solenoid carries a current of 10.0 A. How tightly wound is the solenoid, in loops per meter?