2. The Electric Field and Potential of a Parallel Plate Capacitor Two very large sheets of charge are separated by a distance d. One sheet has a surface charge density +159: the other. a surface charge density.r o',,. A. small region near the center of the sheets is shown below. +0\" I In A i E C D I i l- a. Draw arrows on the diagram to indicate the direction of the electric field at points A, B, C, and D. i. Compare the magnitudes of the electric fields at points A, B, C, and D. Explain. ii. How would the electric force exerted on a charged particle at point A compare to the electric force exerted on the same particle at: . point B? - point C? point D? b. A positively charged test particle moves from point A to point C. i. Is the work done on the particle by the electric field positive, negative, or zero? Explain. ii. Find AVAC (i.e.,Vc - VA). Explain how you determined your answer. c. A positively charged test particle moves from point A to point D. i. Is the work done on the particle by the electric field positive, negative, or zero? Explain. ii. Is AVAD (i.e.,VD - VA) positive, negative, or zero? Explain how you can tell. ili. Determine the magnitude and direction of the electric field at points A, B, C, and D. (Hint: Use superposition and the results for the electric field of a large sheet from the lecture video.) iv. A particle of mass m,, and charge -q, is released from rest at a point just to the left of the right sheet. Find the speed of the particle as it reaches the left sheet. Express your answer in terms of given variables