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Nov 24, 2018 at 17:30 history edited Daddy Kropotkin CC BY-SA 4.0
cartesian unit vectors needed the hat instead of the arrow
Nov 24, 2018 at 14:33 vote accept freja
Nov 24, 2018 at 14:32 history edited Daddy Kropotkin CC BY-SA 4.0
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Nov 24, 2018 at 14:10 comment added freja Thank you - is there a way to remove sin, cos, tan completely? My aim is to get to the final equation in the question, but I'm stumbling at the end.
Nov 24, 2018 at 13:39 history edited Daddy Kropotkin CC BY-SA 4.0
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Nov 24, 2018 at 13:33 comment added Daddy Kropotkin I just made an edit, so re-examine the answer please. But, you asked how to convert the cylindrical unit vector into a linear combination of cartesian unit vectors, and that's what is provided, so if you substitute the expression for $\hat{e}_{\phi}$ in terms of the cartesian unit vectors then your magnetic field will then be in terms of the cartesian unit vectors, and if you want to remove the explicit $\phi$ dependence then you use the coordinate transformations to sub in for $x$ and $y$. Does that make sense?
Nov 24, 2018 at 13:31 history edited Daddy Kropotkin CC BY-SA 4.0
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Nov 24, 2018 at 13:30 comment added freja Thank you, but how does this lead to the equation in x and y unit vectors without sin and cos?
Nov 24, 2018 at 13:26 history answered Daddy Kropotkin CC BY-SA 4.0