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A sample of dry air has a temperature of 273K, a volume of 4 m^3 and a pressure of 2 atmospheres. The air parcel then undergoes the following changes: a) warmed under constant pressure to 400K, b) cooled under constant volume to 200K, c) cooled under constant pressure to 100K, and d) warmed under constant volume to 300K. Sketch the process on a P-V diagram and mark the final values for pressure and volume after each change. Calculate the total work done.
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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