We analyze the response of a metallic ring to an applied time-harmonic and spatially uniform magnetic field. The self-consistent current distribution and magnetic moment are compared with that from an equivalent LR circuit model and the range of parameters (size, frequency and conductivity) for the model applicability is analyzed. The circuit model does not perform quantitatively well in the parameter region with high magnetic moment and low losses that is important for metamaterial design. We show that scaling of the magnetic response is conveniently described by a single parameter which combines size, conductivity, and frequency.
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