Magnetic field circles the wire
A straight current-carrying wire creates circular magnetic-field lines around it.
Point your right thumb with the current. Your curled fingers show the direction of the magnetic field.
Thumb: current direction
Curled fingers: magnetic-field direction
Compass: move the cursor; the needle follows the local field tangent with a short delay
Model: Hand-Math right-hand GLB, based on Elena FF's rigged hand, CC BY-SA 4.0.