A current carrying wire perpendicular to the plane of the paper produces a magnetic field
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I am not sure what you are asking in this question but if you are asking about the direction of magnetic field than, we will use right hand thumb rule to find the direction of magnetic field.
Case 1.
If the direction of current is upwards then the direction of magnetic field will be anticlockwise.
Case 2.
If the direction of current is downwards then the direction of magnetic field will be clockwise.