Electric charge is distributed along an infinite straight


I need expert help to solve the given parts of following problem:

Problem: Electric charge is distributed along an infinite straight line with a density lambda = lambda0 / (|x| + k), where k is a positive constant.

Part A: Is the total charge infinite?

Part B: Can you calculate the potential (V) at a distance p from the wire at x = 0? If not, can you show that it is not infinite?

Please provide a full detailed explanation for the above problem.

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Physics: Electric charge is distributed along an infinite straight
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