Divergence of a vector div D in the cylindrical coordinate system is
1
\( \frac{1}{{\rm{\rho }}}\frac{{\partial \left( { {D_\rho }} \right)}}{{\partial \rho }} + \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {{D_\phi }} \right)}}{{\partial \phi }} + \frac{{\partial \left( {{D_z}} \right)}}{{\partial z}}\)
2
\( \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {\rho {D_\rho }} \right)}}{{\partial \rho }} + \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {{\phi D_\phi }} \right)}}{{\partial \phi }} + \frac{1}{z}\frac{{\partial \left( {{zD_z}} \right)}}{{\partial z}}\)
3
\( \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {\rho {D_\rho }} \right)}}{{\partial \rho }} + \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {{D_\phi }} \right)}}{{\partial \phi }} + \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {{D_z}} \right)}}{{\partial z}}\)
4
\(\frac{{\partial \left( { {D_\rho }} \right)}}{{\partial \rho }} +\frac{{\partial \left( {{D_\phi }} \right)}}{{\partial \phi }} + \frac{{\partial \left( {{D_z}} \right)}}{{\partial z}}\)
5
\( \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {\rho {D_\rho }} \right)}}{{\partial \rho }} + \frac{1}{{\rm{\rho }}}\frac{{\partial \left( {{D_\phi }} \right)}}{{\partial \phi }} + \frac{{\partial \left( {{D_z}} \right)}}{{\partial z}}\)
5
Question Not Attempted