Physics Ch. 21

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Field lines emerging

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Hint 3

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Can electric fields lines ever cross?

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The electric flux through a closed surface is zero. Must the electric field be zero on that surface?

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If the flux of the gravitational field through a closed surface is zero, what can you conclude about the region interior to the surface?

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Under what conditions can the electric flux through a surface be written as EA, where A is the surface area?

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If a charged particle were released from rest on a curved field line, would its subsequent motion follow the field line?

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A point charge is located a fixed distance outside a uniformly charged sphere. If the sphere shrinks in size without losing any charge, what happens to the force on the point charge?

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The field of an infinite charged line decreases as 1/r. Why isn't this a violation of the inverse square law?

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Why can't you use Gauss's law to determine the field of a uniformly charged cube? Why couldn't you use a cubical Gaussian surface?

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You're sitting inside an uncharged, hollow spherical shell. Suddenly someone dumps a billion Coulomb's of charge on the shell, distributed uniformly. What happens to the electric field at your location?

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An insulating sphere carries charge spread uniformly throughout its volume. A conducting sphere has the same radius and net charge, but of course the charge is spread over its surface only. Compare the electric fields outside these two charge distributions.

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Why must the electric field be zero inside a conductor in electrostatic equilibrium?

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Charges +2q and -q are near each other. Sketch some fields lines for this charge distribution, using eight lines for a charge of magnitude q.

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