(B) According to the Right-Hand Thumb Rule,the direction of the magnetic field produced by the current at point $A$ (above the wire) is from north to south.
The direction of the magnetic field produced by the current at point $B$ (below the wire) is from south to north.
The Earth's horizontal magnetic field is directed from south to north.
At point $A$,the Earth's magnetic field and the magnetic field due to the current are in opposite directions,so the net magnetic field is the difference between the two.
At point $B$,the Earth's magnetic field and the magnetic field due to the current are in the same direction,so the net magnetic field is the sum of the two.
Therefore,the total magnetic field is stronger at point $B$.