Circular Cylindrical Coordinate System (ρ, φ, z) - Field Theory.
A Vector in Cylindrical system is represented as (A ρ , A φ , A z ) or A = A ρ a ρ + A φ a φ + A z a z Where a ρ , a φ and a z are the unit vectors in ρ, φ and z direction respectively. The physical significance of each parameter of cylindrical coordinates: - The value ρ indicates the distance of the point from the z-axis. It is the radius of the cylinder . - The value φ, also called the azimuthal angle , indicates the rotation angle around the z-axis. It is basically measured from the x axis in the x-y plane. It is measured anti-clockwise. - The value z indicates the distance of the point from z-axis. It is the same as in the Cartesian system. In short, it is the height of the cylinder. Range of the variables: It defines the minimum and the maximum value that ρ, φ and z can have in Cartesian system. 0 ≤ ρ ≤ ∞ 0 ≤ φ ≤ 2π - ∞ ≤ z ≤ ∞ Figure shows Point P and Unit vectors in Cyli...