Absence of m.field around an AC current carrying wire

One of my friend says that it is possible that there will be no magnetic filed around an AC current carrying wire but he did,t know about the reason. can any one give the reason
 
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There is always a magnetic field around a single wire carrying a current, either AC or DC. Use Ampere's Law to calculate. If it is a pair of wires in close proximity (like a two-wire lamp cord), with one wire carrying a return current, the magnetic field is minimal.

Bob S
 

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