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3) (45 pts) In the figure at right are shown four configurations of charge labelled A, B, C, and D. The small circles are meant

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3) (45 pts) In the figure at right are shown four configurations of charge labelled A, B, C, and D. The small circles are meant to represent point (i .e., very small) charges and the long rectangles are meant to represent infinite (i.e., large at) sheets of charge whose area is perpendicular to this page. Through each figure is drawn a dotted line representing the x-axis of a coordinate system with the origin indicated by 0. (The y-axjs is not shown.) Picture a small charge moving along the x-axis from left to right in each configuration, measuring the conguration's electric potential and the x-component of the electric field in the space. ++++l++++ Below are some graphs that might depict either the electrostch potential or the x-component of the electric field along the path of travel in the various cases. For each of the four charge configurations: A) (20 pts) Identify the graph (or graphs, if more than one apply) that could correspond to the electrical potential measured along the path of travel, and B) (20 pts) Identify the graph (or graphs) that could correspond to the x-component of the electric field measured along the path of travel. Explain your reasoning for each graph chosen. [fnone apply for a given situation, draw a graph that would work instead. C) (5 pts) You should notice a relationship between your V and Ex graphs that involves slope. Pick one of the easier-to-interpret pairs of V and Ex graphs and describe their relationship, from a slope perspective. In general, what does this suggest about the connection between V and E? (1) a (2} (3) (4) (8) (5} {3) l t?) (1 a) (1 1 J -' t1 2) i 1 . ' 1 .; 1

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