Does the surface enclose a net positive or net negative charge, or no net charge?
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A solid copper sphere has a net positive charge. The charge is distributed uniformly over the surface of the sphere, and the electric field inside the sphere is zero. Then a negative point charge outside the sphere is brought close to the surface of the sphere. Is all the net charge on the sphere still on its surface? If so, is this charge still distributed uniformly over the surface? If it is not uniform, how is it distributed? Is the electric field inside the sphere still zero? In each case justify your answers.
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Inner-surface charge density ** A positive point charge $q$ is located off-center inside a conducting spherical shell, as shown in Fig. 3.22. (You can assume that the shell is neutral, although this doesn't matter.) We know from Gauss's law that the total charge on the inner surface of the shell is $-q .$ Is the surface charge density negative over the entire inner surface? Or can it be positive on the far side of the inner surface if the point charge $q$ is close enough to the shell so that it attracts enough negative charge to the near side? Justify your answer. Hint: Think about field lines.
A neutral block of metal sits where a the electric field is constant and to the left. A. Determine whether the left and right surfaces of the block are: positively charged, negatively charged, not charged, or slightly negatively charged? B. Determine whether the interior is a (+ -) dipole, a (- +) dipole, or has no charge?
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