A medical physicist is designing a compact cyclotron to produce radioactive isotopes for PET imaging. The cyclotron accelerates protons ($q = 1.602 imes 10^{-19} ext{ C}$) using a magnetic field of 1.5 T. The path of the protons has a radius of 0.25 m at their final energy. Assess the feasibility of this design by calculating the kinetic energy (in MeV) of the protons at this radius. Furthermore, discuss how increasing the magnetic field strength would affect the cyclotron’s size and the final kinetic energy of the protons, assuming the same maximum radius is maintained. Clearly explain your reasoning.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Physics practice question worth 6 marks, testing your understanding of Magnetic field & particles. It falls under How do things move without contact? in Unit 3: How do fields explain motion and electricity?. Submit your answer above to receive instant AI-powered marking and personalised feedback.
In this unit students use Newton’s laws to investigate motion in one and two dimensions. They explore the concept of the field as a model used by physicists to explain observations of motion of objects not in apparent contact. Students compare and contrast three fundamental fields – gravitational, magnetic and electric – and how they relate to one another. They consider the importance of the field to the motion of particles within the field. Students examine the production of electricity and its delivery to homes. They explore fields in relation to the transmission of electricity over large distances and in the design and operation of particle accelerators. A student-designed practical investigation involving the generation of primary data and including one continuous, independent variable related to fields, motion or light is undertaken either in Unit 3 or Unit 4, or across both Units 3 and 4, and is assessed in Unit 4, Outcome 2. The design, analysis and findings of the investigation are presented in a scientific poster format.
In this area of study, students examine the similarities and differences between three fields: gravitational, electric and magnetic. Students explore how positions in fields determine the potential energy of, and the force on, an object. They investigate how concepts related to field models can be applied to construct motors, maintain satellite orbits and to accelerate particles including in a synchrotron.
Analyse the use of a magnetic field to change the path of a charged particle, including: • the magnitude and direction of the force applied to an electron beam by a magnetic field: F = qvB, in cases where the directions of v and B are perpendicular or parallel • the radius of the path followed by an electron in a magnetic field: r = mv / (qB), where v << c.
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