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Degree: Particle Physics (Doctorate) - Manchester University
My name is Mark and I am a PhD student at the University of Manchester studying particle physics. Before coming here I completed my undergraduate degree in physics at Oxford. During the course of my PhD I have been involved in some public engagement activities that has given me an appetite for sharing my knowledge and making people as enthusiastic about science as I am.
I would like those I tutor to gain a good understanding of the material so that they can deal with any question in an exam. I would potentially go a little beyond the syllabus to give a broader overview. In particular I like to show how the material you learn in school is used in the real world.
If there is any topic you would particularly like help with or some exam questions you would like to go over then just let me know and I can prepare a lesson accordingly.
|Further Mathematics||A Level||£24 /hr|
|Maths||A Level||£24 /hr|
|Physics||A Level||£24 /hr|
|.MAT.||Uni Admissions Test||£26 /hr|
Matt (Student) June 9 2016
Matthew (Student) April 19 2016
Tom (Student) May 10 2016
Paul (Parent) April 26 2016
In the LHC protons are accelerated to almost the speed of light. They are contained in the circular accelerator by the 1232 superconducting dipole magnets. How strong does the magentic field need to be?
If the LHC is at its maximum design energy, the protons have an energy of 7TeV. One eV (electron volt) is the energy gained by moving one unit of charge (protons and electrons have one charge unit q) through a potential of 1 Volt.
From AS level electromagnetism we know that the force on a charged particle with velocity v in a magnetic field B is
F = q v x B
and the magnitude of the force required to keep an object of mass m in a circlular path with velocity v is
F = m v2 / r
Equating the two (assuming the velocity and magnetic field are perpendicular) and multiplying both sides by m give
m2 v2 / r = q m v B
mv / q r = B
In relativity E2 = p2 c2 - m2 , but the particle is travelling super relativistically so p2 >> m2 so E is approximately pc (and p = mv) in this case so
E / q r c = B
The energy E in Joules is q x 7TeV. There are 1232 magnets each of length 15m
B = 7 x 1012 x 2 x pi / 1232 x 15 x c
B = 8Tsee more