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A laboratory electromagnet produces a magnetic field of magnitude 1.53 T. A proton moves through this field with a speed of 5.42 106 m/s.
(a) Find the magnitude of the maximum magnetic force that could be exerted on the proton.
(b) What is the magnitude of the maximum acceleration of the proton?
(c) Would the field exert the same magnetic force on an electron moving through the field with the same speed? (Assume that the electron is moving in the direction as the proton.)
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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