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20p-show-that-divergence-of-vector-vec-a-a-r-a-r-a-phi-a-phi-a-z-a-z-in-cylindrical-pa632
(Solved): (20p) Show that divergence of vector vec(A)=a_(r)A_(r)+a_(\phi )A_(\phi )+a_(z)A_(z) in cylindrical ...
(20p) Show that divergence of vector
vec(A)=a_(r)A_(r)+a_(\phi )A_(\phi )+a_(z)A_(z)in cylindrical coordinate system is developed as:
vec(grad)*vec(A)=(1)/(r)(del(rA_(r)))/(delr)+(1)/(r)(delA_(\phi ))/(del\phi )+(delA_(z))/(delz).(You need to express the del operator and vector A in cylindrical coordinates and fully expand and solve their dot product, ???????? ? ??? ? ??
A? ???? ??? ??? ??? ???? ??? ???!)
