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Problem 1:
A circular electron-positron collider with 50 GeV per beam of equal current, a circumference of 6 km and a round beam at the interaction point.
What combination of emittance and beam current is required to achieve a luminosity of 1033 cm-2 s-1 for a β* = 0.5 m and 1200 bunches?
Problem 2:
Estimate the electron beam energy Ee, the undulator period λu. and the peak magnetic field of the undulator B0 to produce a photon beam of 7 keV in a linac driven Free Electron Laser.
Need help solving these two questions. The material is based off of accelerator physics and particle accelerators, so the degree of difficulty is a 4th year university course.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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Illustrate the cause of the components accelerating from rest down the conveyor.
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