Two long parallel wires 1 and 2 separated by a distance d carry equal currents I as shown in Fig. The magnetic field at the point p which is exactly mid-way between the two wires is.
The magnitude of the magnetic field at a point at a distance r from a long wire carrying a current I is given by:
Therefore, the magnitude of the magnetic field at point P due to current in wire 1 is (since ).
From the right- hand thumb rule, the direction of the field is into the page. For wire 2,
These two fields have equal magnitude but opposite direction. Hence they cancel each other. So the correct choice (4).
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