In: Physics
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?
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