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2. Consider a semi-infinite line charge located on the +z axis, with a charge per unit
length given by:
Ao
A(z) = { db e
exp(-2/a) z≥0
x<0'
where Ao and a > 0 are constants. Using spherical coordinates, find the electrostatic
potential everywhere, assuming Þ(r → ∞) = 0. It is sufficient to express you answer
in terms of definite integrals over r.

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