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Question:
For each position A, and B, use calculus to derive a general equation for the E-field from a line of charge L units long. Then plug in the numbers to show that your equation closely matches the computer results. You will have to derive your own expression for the point along the axis. Hint: Draw a picture and use the principle of superposition and convert your sum to an integral over dx. http://d2vlcm61l7u1fs.cloudfront.net/media%2F577%2F577b0eb6-7b90-4800-8f96-09d6f5a94b1b%2Fphpq25KvE.png