& \mbox{ for $x^2+y^2<R^2$ and } \nonumber \\
B_T &=& B_{max} \frac{1}{1+(\frac{z-H}{P})^2}\exp
\left(-\frac{(x^2+y^2)^{1/2}}{R}\right)\\ & & \mbox{ for
$x^2+y^2>R^2$} \nonumber\end{aligned}$$ where $x$ and $y$ are positions in Galactic plane. Meaning and values of used constants follow: radius of a circle with toroidal field $R=15$ kpc, height above Galactic plane $H=1.5$ kpc, half-width of Lorentzian distribution $P=0.3$ kpc, and maximal value of toroidal magnetic field $B_{max}=1\mu$G.

As consequence of existence of the poloidal field (dipole field) we probably observe vertical component of $0.2 \mu$G in the Earth vicinity and intensive filaments near Galactic center. Appropriate equations, which we used for description of poloidal field, are the same as the equations for magnetic dipole. The field is symmetrical around Galactic axis. For the total poloidal field strength it is then valid (in xz-plane) in polar coordinates ($\theta$ ranges from 0 to $\pi$ and it goes from north to south pole): $$B = \frac{K}{R^3} \sqrt{3\cos^2(\theta)+1} \mbox{.}$$ From it follows that in spherical coordinates we then have these cartesian field components: $$\begin{aligned}
B_x &=& -\frac{3K}{2R^3}\sin 2\theta \cos \phi\\
B_y &=& -\frac{3K}{2R^3}\sin 2\theta \sin \phi\\
B_z &=& -\frac{K}{R^3} (3 \cos^2 \theta - 1)\end{aligned}$$

A cylinder (height $300$ pc, diameter $100$ pc) with constant strength of magnetic 