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Physics
Classical Physics
Electromagnetism
Induced magnetic field in a cylinder
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[QUOTE="Silviu, post: 6024275, member: 588158"] Hello! I am confused about the first EM problem on http://web.mit.edu/physics/current/graduate/exams/gen2_F00.pdf (page 4, with the cylinder in a magnetic field). The solution can be found http://web.mit.edu/physics/current/graduate/exams/gen2sol_F00.pdf. In part a the solution is straightforward. However I am a bit confused about part b. They divide the cylinder in solenoids and calculate the field a a given point produced by these solenoids. This makes sense. However, when they plug in the value of ##j(t)## they use the value from part a, and I am not sure why we can do this. In a simple RL circuit you have an ODE that you solve to find the current as a function of time. Here if I understand well, they calculate the induced magnetic field created be ##j## from part a, and use that to calculate the new ##j##, but once you take self inductance into account, ##j## from part a is not there anymore. Don't you need to calculate the magnetic field induced by this new ##j## to find ##j## at a later time, and this way you need an ODE? What am I missing here? [/QUOTE]
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Classical Physics
Electromagnetism
Induced magnetic field in a cylinder
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