Two particle with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides of length a. The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is: a a a O 2kQq/a OkQq a kQq/a?

Oppositely charged parallel plates are separated by 5.35 mm. A potential difference of 500 V exists between the plates. (A) what is the magnitude of the electric field between the plates? (B) how much work does the electric field do moving an electron from the negative plate to the positive plate?

Identical point charges (+50 µC) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?

Two particles of −10 nC each are arranged symmetrically on the x-axis. a) What is the electrostatic force (magnitude and orientation) on each of the two particles? b) What is the net electric field in point P (magnitude and orientation)? c) What is the net electric potential in point P?

A charge of -12 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin. A -5.6 pC point charge is located on the x axis at x = 3.0 m. For a ring radius of 1.2 m, how much work must an external force do on the point charge to move it to the origin?

Three charges, +23 uC, -23 uC and +23 uC are placed at A (0,5cm), B (5cm,0), C (-5cm,0). Calculate the potential energy of the whole system of charges.

In the figure point P is at a distance d = 4.63 m from particle 1 (q = -5e) and distance d = 3.13 m from particle 2 (q2 = +5e), with both particles fixed in place. (a) With V =0 at infinity, what is V at P? If we bring a particle of charge q3 = +5e from infinity to P, (b) how much work do we do and (c) what is the potential energy of the three-particle system? %3D %3D 92 (a) Number Units (b) Number

In Figure (a), we move an electron from an infinite distance to a point at distance R = 9.20 cm from a tiny charged ball. The move requires work W = 2.75 x 10-13 J by us. (a) What is the charge Q on the ball? In Figure (b), the ball has been sliced up and the slices spread out so that an equal amount of charge is at the hour positions on a circular clock face of radius R = 9.20 cm. Now the electron is brought from an infinite distance to the center of the circle. (b) With that addition of the electron to the system of 12 charged particles, what is the change in the electric potential energy of the system? (a) Number i (b) Number i |-R- (a) Units Units (b)

Oppositely charged parallel plates are separated by 5.00 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C (b) What is the magnitude of the force on an electron between the plates? N (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 3.00 mm from the positive plate? J

The image shows three charges fixed in place. The distance in the image is ? = 0.2 m and the charge is ? = 4×10−16 C An electron (not pictured) initially at point A has a speed of 106 m/s as it moves toward point B. What is the speed of the electron at point B?