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Chapter 15: Q18Q (page 617)
A student said, “The electric field inside a uniformly charged sphere is always zero.” Describe a situation where this is not true.
The field inside a uniformly charged sphere is not zero at all points except the center of the sphere.
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The rod in Figure 15.49 carries a uniformly distributed positive charge. Which arrow (a–h) best represents the direction of the electric field at the observation location marked with a red X?
Consider setting up an integral to find an algebraic expression for the electric field of a uniformly charged rod of length L , at a location on the midplane. If we choose an origin at the center of the rod, what are the limits of integration?
A thin glass rod of length 80 cmis rubbed all over with wool and acquires a charge of 60 nC, distributed uniformly over its surface. Calculate the magnitude of the electric field due to the rod at a location 7 cmfrom the midpoint of the rod. Do the calculation two ways, first using the exact equation for a rod of any length, and second using the approximate equation for a long rod.
Question: A glass sphere carrying a uniformly distributed charge of is surrounded by an initially neutral spherical plastic shell (Figure 15.67).
(a) Qualitatively, indicate the polarization of the plastic. (b) Qualitatively, indicate the polarization of the inner glass sphere. Explain briefly. (c) Is the electric field at location P outside the plastic shell larger, smaller, or the same as it would be if the plastic weren’t there? Explain briefly. (d) Now suppose that the glass sphere carrying a uniform charge of is surrounded by an initially neutral metal shell (Figure 15.68). Qualitatively, indicate the polarization of the metal.
e) Now be quantitative about the polarization of the metal sphere and prove your assertions. (f) Is the electric field at location outside the metal shell larger, smaller, or the same as it would be if the metal shell weren’t there? Explain briefly.
A rod is long. Its charge is . The observation location is from the rod, in the mid plane. In the expression
what is in meters?
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