Explore the use of a giant solenoid and the resulting magnet

Explore the use of a giant solenoid and the resulting magnetic field to protect a spaceship from harmful cosmic-ray protons. assume that the protons are traveling at v =0.9c, where c is the speed of light, and that we will use a large solenoid around our ship to create a magnetic field that will deflect the protons away from our ship.

1) Assuming that the solenoid creates a uniform magnetic field, solve for the magnetic field as a function of the radius of curvature of the proton. Look up values as needed.

2) Assume a size for your solenoid (e.g., r = 30 m, remembering that you have to build this thing), and figure out what magnetic field you would need if you wanted the radius of the solenoid to be at least as big as the radius of curvature of the proton (you don\'t want it to hit your ship, which is at the center). Is this a reasonable field strength?

Solution

arxiv.org/pdf/1406.1159