Three infinite uniformly charged thin sheets are shown in the figure below. The sheet on the left at x=-d is charged with charge per unit area of -3σ , The sheet in the middle at x=0 is charged with charge per unit area of +σ , and the sheet on the right at x=d is charged with charge per unit area of -2σ . Find the x^ component of the electric field Ex in each of the regions 1, 2, 3, and 4. Express your answer in terms of, if relevant,^ , d and epsilon_0
Region 1: x>d
Region 3: -d<x<0
Region 4: x<-d
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