The structure of the "out-of-plane" component of the magnetic field is studied from the two-fluid description of magnetic reconnection via resistive tearing instability in a force-free field. Odd parity of the out-of-plane field component signifies a quadrupolar structure, which is usually taken as a signature of the Hall-mediated magnetic reconnection. Here we argue that the structure of the out-of-plane magnetic perturbation is not uniquely specified by the regime of reconnection. Thus, it can be quadrupolar in the standard magnetohydrodynamics (MHD) regime of magnetic reconnection, while being nonquadrupolar in the Hall-MHD regimes. (C) 2007 American Institute of Physics.
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