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Solve the all parts of given question:

Question: Assume two charges q and -q are placed at the points (0,0, -d/2) and (0,0, d/2) respectively.

Part A: What is the electric field at points on the xy-plane (i.e z = 0 plane)?

Part B: Use the electric field in part (a) to calculate the electric flux through the xy-plane.

Part C: Discuss the result of part (b) using what you know about the total electric flux of a charge q and the principle of superposition.

Part D: Using the argument in part (c), find the electric flux through an infinite plane parallel to the xy-plane at z = d/4?

Part E: What is the electric flux if the plane is at height z = 2d?

Please show your results in detailed calculations.

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