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A gas initially occupying a volume V undergoes a sudden explosion, causing its volume to triple to 3V. Assuming that the pressure of the environment (atmospheric pressure po) remains constant, find an expression for the work done by the gas.
Hint: Please notice that an explosion is a rapid and irreversible process. Because this process happens far from equilibrium, the pressure of the gas (p) is not well defined and the expression dw = - pdV cannot be applied to the gas undergoing the explosion.
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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