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Question
Electric charge on the earth's surface and in the earth's atmosphere produces an electric field that on a clear day is directed vertically downward and has a magnitude of about 100 N/C just above the earth's surface. Extremely small negative particles can be supported by the field. For large particles, the charge that must be carried may be so great that the field around the charge causes the surrounding air to conduct the charge away. This occurs at field of about 3.0 * 10^6 N/C in dry air. Find the radius of the largest water drop that could be supported in the earth's electrostatic field. Believe that the drop is spherical. Find out the radius.
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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