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A wire with a weight per unit length of 0.03 N/m is suspended directly above a second wire. The top wire carries a current of 21.1 A, and the bottom wire carries a current of 73.4 A. The permeability of free space is 4π × 10-7 T · m/A. Find the distance of separation between the wires so that the top wire will be held in place by magnetic repulsion. Answer in units of mm.
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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