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B.3 For wires in poloial plane

For a curve in the poloidal plane, the line element dl in terms of the cylindrical basis is written as dl = dRˆeR(ϕ) + dZˆez. Using Cartesian coordinate basis vectors, dl is written as

dl = dR cosϕˆex +dR sin ϕˆey + dZ ˆez.
(642)

Using Eq. (642) and (633), we obtain

|| ˆex ˆey ˆez || dl× (r − r′) = ||dR cosϕ dR sinϕ dZ ||. ||(x − x ′) (y − y′) (z − z′)||
(643)

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