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A very long, hollow cylinder (radius 4.7cm) is formed by rolling up a thin sheet of copper. Electric charges flow along the copper sheet parallel to the axis of the cylinder. The arrangement is, in effect, a hollow tube of current 3.8A. Use Ampère's law to find the magnetic field
(a) outside the cylinder at a distance 6.8cm from the axis and
(b) inside the cylinder at a distance 3.0cm from the axis.
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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