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Chapter 22: Problem 3
Would a free electron move toward higher or lower potential?
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Is the potential at the center of a hollow, uniformly charged spherical shell higher than, lower than, or the same as at the surface?
Find the potential as a function of position in the electric field \(\vec{E}=a x \hat{\imath},\) where \(a\) is a constant and where you're taking \(V=0\) at \(x=0\)
A uranium nucleus (mass 238 u, charge \(92 e\) ) decays, emitting an alpha particle (mass 4 u, charge 2e) and leaving a thorium nucleus (mass 234 u, charge \(90 e\) ). At the instant the alpha particle leaves the nucleus, the centers of the two are 7.4 fim apart and essentially at rest. Treating each particle as a spherical charge distribution, find their speeds when they're a great distance apart.
Two identical charges \(q\) lie on the \(x\) -axis at \(\pm a\). (a) Find an ex \(-\) pression for the potential at all points in the \(x-y\) plane. (b) Show that your result reduces to the potential of a point charge for dis tances large compared with \(a\)
The electric potential in a region increases linearly with distance. What can you conclude about the electric field in this region?
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