  A new exact vacuum solution in five dimensions, which describes a magnetized
cylindrical wormhole in $3+1$ dimensions is presented. The magnetic field lines
are stretched along the wormhole throat and are concentrated near to it.
  We study the motion of neutral and charged test particles under the influence
of the magnetized wormhole. The effective potential for a neutral test particle
around and across the magnetized wormhole has a repulsive character. The
gravitational lensing for the magnetized wormhole for various lens parameters
are calculated and compared. The total magnetic flux on either side of the
wormhole is obtained.
  We present analytic expressions which show regions in which the null energy
condition is violated.
