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dur dur ug dur um dur 1aP dur Uy 12ur 20u aur +gr+ at ar ae az par rar ar 72 +2 0 az2 due due ugdug on'n aue 11P one 20ur a2ue +ur +1z +g+v te ar r ae az prae r2 r292 r z2 duz duz ugduz duz 1aP duz) 1uz2uz at ar az a Though many terms in these equations appear similar to the Cartesian form, there are a number of r2r2 not space-independent; they vary depending on where you are in space (@z does not vary in space, which is why many of the z-related terms do not change from Cartesian to cylindrical coordinates. er=egand Deg a5 Show that the unit vectors e and e are both functions of ,such that - a0 -er. r2 a92 az2 vV2(u) for cylindrical coordinates, taking into account your result from (a), and show that the expression given above is correct (extra terms and all)

          dur dur ug dur um dur 1aP dur Uy 12ur 20u aur +gr+ at ar ae az par rar ar 72 +2 0 az2 due due ugdug on'n aue 11P one 20ur a2ue +ur +1z +g+v te ar r ae az prae r2 r292 r z2 duz duz ugduz duz 1aP duz) 1uz2uz at ar az a
Though many terms in these equations appear similar to the Cartesian form, there are a number of
r2r2
not space-independent; they vary depending on where you are in space (@z does not vary in space, which is why many of the z-related terms do not change from Cartesian to cylindrical coordinates.
er=egand Deg a5 Show that the unit vectors e and e are both functions of ,such that - a0 -er.
r2 a92 az2
vV2(u) for cylindrical coordinates, taking into account your result from (a), and show that the expression given above is correct (extra terms and all)

dur dur ug dur um dur 1ap dur uy 12ur 20u aur gr at ar ae az par rar ar 72 2 0 az2 due due ugdug onn aue 11p one 20ur a2ue ur 1z gv te ar r ae az prae r2 r292 r z2 duz duz ugduz duz 1ap duz 01175

Added by Mariano L.

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