In: Physics
Four charges are placed on the corners of a rectangle with length d = 0.00341 mm and breadth s = 0.00119 mm, as shown in the figure. The charges are given in terms of the elementary charge, e = +1.602×10‒19 C, as follows: q1 = q2 = +2000e and q3 = q4 = ‒3000e.
(a) Calculate the electric potential at point A, the middle of the rectangle, and at point B, the middle of the right-hand side of the rectangle.
(b) A particle with unknown charge q and mass m = 2.342 ×10‒20 kg is placed at point A, where it is initially at rest. The charge moves from point A to point B, where it has a speed of v = 12.23 m/s. Assuming that all forces apart from the electrostatic forces in the system are negligible, determine q. Use the answers obtained in (a) in your calculation.
(c) Would you be able to obtain the answer in (b) by using the equations of motion? Give a reason for your answer.
Since the figure is not given, I have assumed the position of charges on the corners in clockwise direction.