Magnetic field lines occur.. *

Around a wire which does not have current.
Around a current carrying wire.
In a wire
Vertical through the wire

Around a current carrying wire.

PsyDAG is correct the answer would be B, Around a current carrying a wire.

Faraday's laws of induction states that for a change in current in one conductor there is a proportional change in magnetic flux induced by it. In your case as the conductor has no current for long time hence leading to inference that change in current is zero so there will be no induced magnetic field.

Magnetic field lines occur around a current-carrying wire.