A uniform electric field of 2 kN/C is in the x direction. A positive point charge Q = 3 μC is released from rest at the origin.

(a) What is the potential difference V(4 m) – V(0)?

(b) What is the change in the potential energy of the charge from x = 0 to x = 4 m?

(c) What is the kinetic energy of the charge when it is at x = 4 m?

(d) Find the potential V(x) if V(x) is chosen to be (d) zero at x = 0,

(e) 4 kV at x = 0, and

(f) Zero at x = 1 m.