Final answer:
While the question about wire entanglement's classes is not related to Physics, the question pertaining to the behavior of a wire in a magnetic field and the induction of electric current by a moving magnet is.
Step-by-step explanation:
The classes of wire entanglement referred to in the question do not relate to concepts in Physics but seem more associated with military engineering or obstacles. However, no such classification exists within the scope of electrical circuits or magnetic fields in Physics, thus the question may refer to a different context not covered in Physics.
(a) When a current-carrying wire is placed in a magnetic field, it experiences a force due to the Lorentz force law. If the current runs in the +x-direction and the magnetic field is directed into the page, the wire will bend in the direction prescribed by the right-hand rule, which in this case would be upwards or towards the +y-direction.
(b) Conversely, if the current runs in the -x-direction, the wire will bend downwards or towards the -y-direction, again following the right-hand rule.