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Two isotopes of cabon, C12 and C13 traveling with the same velocity move through a isotope has a charge e = 1.6 x 10-19 C and enters a mass spectrometer in which the magnetic field B is 0.85 T. The ions then travel along a circular path inside the spectrometer. Given that 1 amu = 1.66 x 10-27 kg
a) Calculate the speed of each isotope before entering the mass spectrometer.
b) Once inside the magnetic field, all the necessary forces on the ions are assumed balanced. Based on this information calculate the radius of the path of each of the isotope in the spectrometer.
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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