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It is found experimentally that the electric field in a certain region of Earth's atmosphere is directed vertically down. At a certain location, at an altitude of 508 m the electric field has magnitude 19.6 N/C and at an altitude of 780 m the magnitude is 76.0 N/C. Find the net amount of charge contained in a cube with horizontal faces at altitudes of 508 and 780 m. Neglect the curvature of Earth.
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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