Consider the following student statement: "If a system has no free charge, there can be no displacement field because the displacement field is directly proportional to free charge." Required:
a. What equation involving the displacement field is the basis for the explanation in this student statement?
b. Do you agree with this statement? Explain why or why not.

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.