4. Consider the cyclotron setup below. We supply external fields: static magnetic field Bo and oscillating electric field E. The particle has charge |8q\, mass m, and initial vertical velocity vo. Because of the influence of B and E, the particle's speed and direction will change over time. The particle will spend less time in the E field as it gets faster. Please ignore this effect for this problem. Instead, assume the time is the same for mathematical simplicity. (a) Plot the velocity magnitude and the horizontal position through the B and E fields as a function of time t. Assume the starting position denotes x = 0. Label values whenever the particle moves from an E field to a B field. (Two plots)
4. Consider the cyclotron setup below. We supply external fields: static magnetic field Bo and oscillating electric field E. The particle has charge |8q\, mass m, and initial vertical velocity vo. Because of the influence of B and E, the particle's speed and direction will change over time. The particle will spend less time in the E field as it gets faster. Please ignore this effect for this problem. Instead, assume the time is the same for mathematical simplicity. (a) Plot the velocity magnitude and the horizontal position through the B and E fields as a function of time t. Assume the starting position denotes x = 0. Label values whenever the particle moves from an E field to a B field. (Two plots)
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![4. Consider the cyclotron setup below. We supply external fields: static magnetic field Bo and oscillating
electric field E. The particle has charge |8q], mass m, and initial vertical velocity vọ. Because of the
influence of B and E, the particle's speed and direction will change over time.
The particle will spend less time in the E field as it gets faster. Please ignore this effect for this problem.
Instead, assume the time is the same for mathematical simplicity.
(a) Plot the velocity magnitude and the horizontal position through the B and E fields as a function
of time t. Assume the starting position denotes x = 0. Label values whenever the particle
moves from an E field to a B field. (Two plots)
B.
E
В
E
|v|
В
vo
+|8q[, m
t
E
t
(b) What is the difference in top speed between a proton and an electron (ignoring the opposite
charge signs)? (Expression)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62e5c874-e834-42f1-938e-65f064ab1dfd%2Fd1a03515-e0d6-4fe7-8c98-88bda099e3c9%2Ft8hxp9j_processed.png&w=3840&q=75)
Transcribed Image Text:4. Consider the cyclotron setup below. We supply external fields: static magnetic field Bo and oscillating
electric field E. The particle has charge |8q], mass m, and initial vertical velocity vọ. Because of the
influence of B and E, the particle's speed and direction will change over time.
The particle will spend less time in the E field as it gets faster. Please ignore this effect for this problem.
Instead, assume the time is the same for mathematical simplicity.
(a) Plot the velocity magnitude and the horizontal position through the B and E fields as a function
of time t. Assume the starting position denotes x = 0. Label values whenever the particle
moves from an E field to a B field. (Two plots)
B.
E
В
E
|v|
В
vo
+|8q[, m
t
E
t
(b) What is the difference in top speed between a proton and an electron (ignoring the opposite
charge signs)? (Expression)
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