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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Consider a problem with planar symmetry and charge density distribution p(x) = {e-l@l/^. Due to the
planar symmetry we can write E = E(x)i.
Transcribed Image Text:Consider a problem with planar symmetry and charge density distribution p(x) = {e-l@l/^. Due to the planar symmetry we can write E = E(x)i.
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 ø(x = 0) = 0. Suppose x >> A, how
does o vary with x? Explain why (see part c).
Transcribed Image Text: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 ø(x = 0) = 0. Suppose x >> A, how does o vary with x? Explain why (see part c).
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