Coördinate system

Cylindrical coördinates

Cylindrical coördinates are an orthogonal coördinate system useful for problems involving cylindrical symmetry, eg. about a pipe or solenoid. They are a natural extension of Polar coördinates

They can be defined by the transformation

with the signature . Any point on the -axis cannot be given a unique coördinate., since any yields the same point

Calculus

The following differential quantities may be useful¹

\begin{align*}

d\tau = s\,ds\,d\phi\,dz
\end{align*}
$$

3. 4. 5. 6.

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