Path 2 A point charge Q is fixed at the origin. A negative charge -q of...

Transcribed Image Text:

Path 2 A point charge Q is fixed at the origin. A negative charge -q of mass m is moved from point A to point B along three different paths. Except for any additional forces which may be necessary to make the charge follow these trajectories (and those forces do not do any work since they are perpendicular to the displacement), the charge only feels the electric force from Q. Path 1 is along the arc of a perfect circle of radius R which is centered on Q. Path 2 is a straight line and path 3 is clearly a complicated trajectory. You will use this diagram for Questions #11-18. B E D C Path 1 Path 3 A 11. Rank the paths based on the net work done by the electric field on q for the entire process (A-B) from most positive to most negative. If the work is zero along any path, explicitly state that. Explain your reasoning. Most positive Most negative 12. Let's focus on Path 1. The charge -q starts at point A with a speed v and moves toward point B. Does its speed EVER change during that time? Explain why or why not. 13. Along Path 2, the charge passes through points ACDEB. At EACH point, determine if the infinitesimal work done by the electric field at that instant is positive, negative or zero. Hint: don't forget that you must compare the force direction and the displacement direction to know the sign of the work. You must draw a diagram for each point illustrating those two vectors. Path 2 A point charge Q is fixed at the origin. A negative charge -q of mass m is moved from point A to point B along three different paths. Except for any additional forces which may be necessary to make the charge follow these trajectories (and those forces do not do any work since they are perpendicular to the displacement), the charge only feels the electric force from Q. Path 1 is along the arc of a perfect circle of radius R which is centered on Q. Path 2 is a straight line and path 3 is clearly a complicated trajectory. You will use this diagram for Questions #11-18. B E D C Path 1 Path 3 A 11. Rank the paths based on the net work done by the electric field on q for the entire process (A-B) from most positive to most negative. If the work is zero along any path, explicitly state that. Explain your reasoning. Most positive Most negative 12. Let's focus on Path 1. The charge -q starts at point A with a speed v and moves toward point B. Does its speed EVER change during that time? Explain why or why not. 13. Along Path 2, the charge passes through points ACDEB. At EACH point, determine if the infinitesimal work done by the electric field at that instant is positive, negative or zero. Hint: don't forget that you must compare the force direction and the displacement direction to know the sign of the work. You must draw a diagram for each point illustrating those two vectors.