If the current density within a certain limited region of space is zero, the magnetic field in that region must also be zero.

Name: If the current density within a certain limited region of space is zero, the magnetic field in that region must also be zero.
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Quizplus · Accepted Answer

The magnetic field in a region can be due to currents outside that region, so even if the current density is zero within a certain region, the magnetic field may not be zero.

If the Current Density Within a Certain Limited Region of Space