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Consider a rod that is not uniformly charged, but rather has a charge density that increases linearly from right to left over the length of the rod: 2q λ(x) = x. L2 This means that a point charge at position x has a charge dq-λ (x)dx. The rod and its coordinate system are shown below. The total length of the rod is L. Answer the following in terms of q, L, d, and fundamental constants. λ dx correspond to? Evaluate the integral to caculate this What does the quantity quantity. What is the total electric field a distance d from the right end of the rod? (Hint: Adapt the 1. 2. work from the slides and use the result below.) (a -x)2 a-x

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