How much work would he done by an electric field in moving

Question

Question 1: How much work would he done by an electric field in moving alpha particle from a point at a potential of +180 V to a point at a potential of -60.0 V? (Alpha particle electric charge is 2e, mass or alpha particle is 6.645 x 10²⁷ kg).

Question 2: The electric potential in a volume of space is given by V(x,y,z) = x³ + x²y + y² z². Determine the electric field in this region at the coordinate (4,5,6).

Question 3: An alpha particle with a speed of 1.5 x 10⁴ m/s is moving from infinity directly toward a second alpha panicle. Assuming that the second alpha particle is fixed in place, find the position where the moving alpha particle stops momentarily before turning around. (Note: the mass of alpha panicle is 6.645 x 10²⁷ kg, electric charge is 2e).

Question 4: Two point charges are located at two corners of a rectangle, as shown in the figure.

a) What is the electric potential at point A?

b) What is the potential difference between points A and B?

Question 5: An electric field varies in space according to this equation: E^→ = E_o x  e^-2x xˆ.

a) For what value of x does the electric field have its largest value, x_max?

b) What is the potential difference between the points at x = 0 and x = x_max?