Final answer:
No, one cannot say that the magnetic field in that region must be zero just because a charged particle is happily moving through it. Moving charges create magnetic fields, so the presence of a moving charged particle does indicate the existence of a magnetic field. However, the magnetic field may not be zero even if the particle is happily moving without any change of direction.
Step-by-step explanation:
No, one cannot say that the magnetic field in that region must be zero just because a charged particle is happily moving through it. Moving charges create magnetic fields, so the presence of a moving charged particle does indicate the existence of a magnetic field. However, the magnetic field may not be zero even if the particle is happily moving without any change of direction. The magnetic field could have a constant value in that region, or it could be zero, depending on other factors like the presence of other charges or currents in the vicinity.