ance L 1) Consider the figure below. An electron is fired towards a conducting plate from a dis plate has a surface charge density a and a radius that is much greater than the distance L. When the electron strikes the plate, it is measured that AK. E.= 10 eV, where AK. E. T-To is the difference between the electron's final kinetic energy and initial kinetic energy. a) Draw a diagram of the configuration including the co-ordinate system you have chosen. b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x. c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot the potential difference from part d) f) If the electron is initially at rest and L= 1cm determine the surface charge density on the plate (assume the radius of the plate is much greater than L)

ance L 1) Consider the figure below. An electron is fired towards a conducting plate from a dis plate has a surface charge density a and a radius that is much greater than the distance L. When the electron strikes the plate, it is measured that AK. E.= 10 eV, where AK. E. T-To is the difference between the electron's final kinetic energy and initial kinetic energy. a) Draw a diagram of the configuration including the co-ordinate system you have chosen. b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x. c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot the potential difference from part d) f) If the electron is initially at rest and L= 1cm determine the surface charge density on the plate (assume the radius of the plate is much greater than L)