1. What is the maximum force, in micro Newtons, on an aluminum rod with a 0.064

Question

1. What is the maximum force, in micro Newtons, on an aluminum rod with a 0.064 C charge that you pass between the poles of a 1.28 T permanent magnet at a speed of 4.16 m/s?

2. An electron moving at 3.36×103 m/s in a 1.3 T magnetic field experiences a magnetic force of 1.68×1016 N . What angle does the velocity of the electron make with the magnetic field? Be sure to give an answer between 0 and 90 degrees.

3. A velocity selector in a mass spectrometer uses a 0.131 T magnetic field. If it is set to select a speed of 4.55×106 m/s, what is the voltage between the plates if they are separated by 1.26 cm? Give your answer in kV.

4. A cosmic ray proton moving toward the Earth at 5.21×107 m/s experiences a magnetic force of 1.8×1016 N . What is the strength of the magnetic field if there is a 53.7º angle between it and the proton’s velocity? Give your answer in terms of 10-5 Teslas.

Explanation / Answer

1. F = q (v x B) = q v B sin(theta)

F_max = q V B

= (0.064 x10^-6) (4.16) (1.28)

= 0.34 x 10^-6 N

2. F = q v B sin(theta)

1.68 x 10^-16 = (1.6 x10^-19) (3.36 x 10^3) (1.3) sin(theta)

theta = 14 deg

3. Fnet = Fe - Fm = 0

q E - q v B = 0

E = (4.55 x 10^6)(0.131) = 596050 Volt/m

V = E d = 7510 Volt

4. 1.8 x 10^-16 = (1.6 x 10^-19)(5.21 x 10^7) (B) sin53.7

B = 2.68 x 10^-5 T

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