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A large negatively charged object is placed on an insulated table. A neutral metallic ball rolls straight toward the object, however stops before it touches it. A second neutral metallic ball rolls along the path followed with the first ball, strikes the first ball, and stops. The first ball rolls forward, but does not touch the negative object. At no time does either ball touch the negative object. What is the final charge on each ball?
a. The first ball is positive, and the second ball is negative.
b. Both balls remain neutral.
c. The first ball is negative, and the second ball is positive.
d. Both balls are positive.
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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