Question

Problem 3. Electrostatics An electron is a distance x from the surface of an infinitely large perfect conductor plate. The electron induces a distribution of charge in the conductor plate. Assume free space (i.e. vacuum, with permittivity ε.-8.85x 10-12 F/m, or ε。~ ( i/36π)" 10-9 F/m as a useful approximation in some numerical calculations). The electron charge is -q1.6x 10-19 C. (1) Is the electron attracted or repelled by the conductor plate? Find an expression of the attraction or repelling force as a function of x (no numerical result needed). (2) (Optional, for bonus) Find the minimum, energy it takes to move the electron from x = 0.0265 nm to r- in the unit eV. Note: The electron is in the electric field of the charge induced by itself, and therefore the electron is at an electrostatic potential that is a function of x. For convenience, the work done to move one electron across a potential difference of 1 V is defined as I eV. This is analogous to the work done to move 1 C of charge across a potential difference of 1 V being i CV= 13.

Answer 1

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