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A given star is a sphere with a radius of 6.11x108 m and an average surface temperature of 6790 K. Determine the amount by which the star's thermal radiation increases the entropy of the universe each second. Assume that the star is a perfect blackbody, and that the average temperature of the rest of the universe is 2.73 K. Do not consider thermal radiation absorbed by the star from the rest of the universe.
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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