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If the electric field of a line charge at a distance 'a' is µ/2Π ε0a (µ is linear charge density), then the potential at that point should be µ/2Π ε0 (since potential = electric field x distance). This means that the potential is constant at every point around the line of charge. Hence, this means there is no potential difference between any two points around the line of charge. So, no work should be required to move a small charge from one point to another point around a line of charge. Is this conclusion correct?