(a) Points A and B is in an empty space, as shown in Q1(a). Evaluate the work necessary to transfer charges Q1 = 1 mC and Q2 = -2mC from infinity to points A and B respectively. The coordinates of A and B are given as (3.-4, 0) and (-2, 2, 1) respectively. Point A Figure Q1 (a) Point B

PLEASE ONLY ANSWER PARTS D & E A proton is located at the origin, and a second proton is located on the x-axis at x1 = 5.24 fm (1 fm = 10−15 m). (a) Calculate the electric potential energy associated with this configuration. J(b) An alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) is now placed at (x2, y2) = (2.62, 2.62) fm. Calculate the electric potential energy associated with this configuration. J(c) Starting with the three particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) J(d) Use conservation of energy to calculate the speed of the alpha particle at infinity. m/s(e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. m/s

The electrostatic potential in all space is given here as a function of x, y and z. Find the electric field Ē(x.y,z) function and express your answer using unit vectors. V(x,y,z)= 4πεο 4 TE, Jx + y² +(z-d)*

A particle that carries a net charge of -41.8 µC is held in a constant electric field that is uniform over the entire region. The electric field vector is oriented 25.2° clockwise from the vertical axis, as shown in the figure. If the magnitude of the electric field is 7.82 N/C, how much work is done by the electric field as the particle is made to move a distance of d = 0.556 m straight up? work: 1.644 x10-4 Incorrect What is the potential difference AV between the particle's initial and final positions? AV = -3.93 J V d i 25.2°