Question

a. For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 60 cm in diameter.What magnetic field strength will you need?

b.What magnetic field strength will levitate the 2.0 g wire in the figure(Figure 1)? Assume that I = 1.9 A and d = 12 cm .

c. The magnetic field strength at the north pole of a 2.0-cm-diameter, 8-cm-long Alnico magnet is 0.10 T. To produce the same field with a solenoid of the same size, carrying a current of 2.0 A , how many turns of wire would you need?

Answer 1

A)

B = mv/qr =( 1.67* 10^-27 * 3 * 10⁷ )/ 1.6 * 10^-19 * 0.3. = 10.4375 * 10^-1

B = 1.044 T

B)  

m*g = I * d * B

2 * 10^-3 * 9.81 = 1.9 * 0.12 * B

B = 86.053 * 10^-3T = 0.086T

C)

B = mue * n * I / L

0.10 * 0.08= 4π * 10^-7 * n * 2

n = 3184.714 =3185 turn