An electron is accelerated inside a parallel plate capacitor. the electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity β. the distance between the plates is 14.1 cm, and the voltage difference is 142 kv. determine the final velocity β of the electron using classical mechanics. (the rest mass of the electron is 9.11 x 10^-31 kg, the rest energy of the electron is 511 kev.) what is the final velocity β of the electron if you use relativistic mechanics?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin. answer in one word. part bfind e(r), the magnitude of the electric field at distance r from the point charge q. express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q. express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r