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Question: Suppose a particle made of equal amounts of negatively and positively charged matter with a total mass of 2 μg is put initially at rest somewhere in space.
a. You notice that although the negative and positive charges remain evenly mixed, this neutral particle begins to accelerate. What is likely to be the cause of such acceleration?
b. Imagine you remove from the particle 1 μC of negative charge. You observe that now when the particle is placed at rest at the same point in space as before, it begins to accelerate much more than before. What is likely to be the cause of this additional acceleration?
c. You notice that once it is in motion, the acceleration of this charged particle remains essentially constant regardless of the direction in which the particle is moving. What does such behavior tell you about the presence of a magnetic field?
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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