A surprisingly realistic microscopic model for the charge density of a semi-infinite metal (with z = 0
Question:
A surprisingly realistic microscopic model for the charge density of a semi-infinite metal (with z = 0 as its macroscopic surface) consists of a positive charge distribution
And a negative charge distribution:
(a) Sketch n+(z) and n−(z) on the same graph and give a physical explanation of why they might be reasonable.
(b) Calculate the dipole moment p per unit area of surface for this system.
(c) Calculate the electrostatic potential φ(z) and sketch it in the interval −∞ < z < ∞.
(d) Calculate and explain the value of φ(∞) − φ(−∞).
(d) Calculate the total electrostatic energy per unit area of this system.
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