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Four solid plastic cylinders all have radius 2.75 cm and length 6.42 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 16.1 nC/m2 everywhere on its surface. Cylinder (b) carries charge with uniform density 16.1 nC/m2 on its curved lateral surface only. Cylinder (c) carries charge with uniform density 490 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 63.4 nC/m along the length of the plastic. All answers are in Coulombs.
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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