Well when I thought it was safe until another Scott error pops up!
From his 2015 paper;
Scott has confused the vector representation of B with that of the basis vectors Ρ, Φ and Z.
For example the component of the magnetic field Bθ makes an angle θ with the z-axis and is associated with spherical coordinates, not as represented in the diagram which should be the angle Φ, and is the angle between the projection of the vector on the x-y plane and the x-axis.
The geometrical illustration of r, θ and z with P, Φ and Z is:
For any vector field A in cylindrical coordinates such as the magnetic field B;
A = ArΡ + AθΦ + AzZ
From his 2015 paper;
Scott has confused the vector representation of B with that of the basis vectors Ρ, Φ and Z.
For example the component of the magnetic field Bθ makes an angle θ with the z-axis and is associated with spherical coordinates, not as represented in the diagram which should be the angle Φ, and is the angle between the projection of the vector on the x-y plane and the x-axis.
The geometrical illustration of r, θ and z with P, Φ and Z is:
For any vector field A in cylindrical coordinates such as the magnetic field B;
A = ArΡ + AθΦ + AzZ
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