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A streptococcus bacterium can reproduce itself in about 30 minutes if there is adequate nutritional materials and appropriate conditions. They are using the materials in your body to build themselves. Suppose one bacterium gets in your system and you have no immune mechanism to destroy them or limit their growth, they can reproduced freely without restraint and convert all of you to spectococci. Assuming that they can convert all of you to them, find how long it would take them to devour you completely. (You will need to estimate the approximate mass of a streptococcus bacterium.)
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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