Consider a problem with planar symmetry and charge density distribution p(x) = {e-la|/A. Due to the planar symmetry we can write E = E(x)i. a. Beyond the planar symmetry, what other symmetry does this problem exhibit? b. Calculate E(x) using Gauss law. Take advantage of the planar symmetry. Also see section 5.2.3 of the course notes. c. What is E(0), E(+∞) and E(-∞)? Explain why these results make sense.
Consider a problem with planar symmetry and charge density distribution p(x) = {e-la|/A. Due to the planar symmetry we can write E = E(x)i. a. Beyond the planar symmetry, what other symmetry does this problem exhibit? b. Calculate E(x) using Gauss law. Take advantage of the planar symmetry. Also see section 5.2.3 of the course notes. c. What is E(0), E(+∞) and E(-∞)? Explain why these results make sense.
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Transcribed Image Text:Consider a problem with planar symmetry and charge density distribution p(x) = %e-l«l/A. Due to the
planar symmetry we can write E = E(x)î.
a. Beyond the planar symmetry, what other symmetry does this problem exhibit?
b. Calculate E(x) using Gauss law. Take advantage of the planar symmetry. Also see section 5.2.3 of
the course notes.
c. What is E(0), E(+∞) and E(-∞)? Explain why these results make sense.
d. Evaluate the electric potential as a function of x assuming o(x = 0) = 0. Suppose x >> A, how
does o vary with x? Explain why (see part c).
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