Polarizing: an electron and a neutral carbon atom are initially 1x10-6 m apart (about 10,000 atomic diameters), and no other particles are in the vicinity. the polarizability of a carbon atom has been measured to be a 1.96x10-40 c-m/(n/c). for all parts of this problem, derive an entirely symbolic answer in terms of variables such as a, e, and the distance d before plugging in numerical values to get a numerical answer a) calculate the electric field created at the atom's location due to the electron. b) calculate the dipole moment induced in the atom due to the electron's presence. c) calculate the electric field created at the electron's location due to the polarized atom. d) calculate the force exerted on the electron by the polarized atom. e) calculate the initial magnitude and direction of the acceleration of the electrorn. f if the electron and carbon atom were initially twice as far apart, how much smaller would the initial acceleration of the electron be?