I was actually studying this inorder to find the spherical coordinates representation of the 'laplacian' of a vector( scalar electric potential)...how to reach into that form for here?
laplacian ∇2V = Vxx +Vyy + Vzz
must be converted to ∇2V = 1/r2 ∂/∂r(r2∂V/∂r) + ...
Iam having trouble understanding how one arrives at the transformation matrix for spherical to rectangular coordinates.
I understand till getting the (x,y,z) from (r,th
ie.,
z = [email protected]
y = [email protected]#
x = [email protected]#
Note:
@ - theta (vertical angle)
# - phi (horizontal angle)
Please show me how...