A path between A and B has been divided into 9 steps (labeled a-i), each with length |dr| a) List the components of dr for each line increment along the path. b) Calculate E · dr for each step c) Calculate SE · dr along this path (approximate the integral as a 9-component sum) d) Calculate the potential difference: AV = V3 – VA e) Calculate SE · dr and AV along a path going directly from A to B. Is your result the same (or close to the same) or fairly different from the curved path? f) Calculate SE · dr and AV along a path going directly from A to C. Is your result the same or different from part e)? Why is this so? g) Explain what your answer has to do with electric fields caused by point charges being "conservative fields"

A path between A and B has been divided into 9 steps (labeled a-i), each with length |dr| a) List the components of dr for each line increment along the path. b) Calculate E · dr for each step c) Calculate SE · dr along this path (approximate the integral as a 9-component sum) d) Calculate the potential difference: AV = V3 – VA e) Calculate SE · dr and AV along a path going directly from A to B. Is your result the same (or close to the same) or fairly different from the curved path? f) Calculate SE · dr and AV along a path going directly from A to C. Is your result the same or different from part e)? Why is this so? g) Explain what your answer has to do with electric fields caused by point charges being "conservative fields"