Abstract：Rectangular-loop has been used widely for its easy arrangement. However, there is no analytic solution for rectangular loop. Traditionally, the response of rectangular loop is calculated by circular loop. This paper analyzes the error which may be caused by this simulation for rectangular loop by circular loop in the light of primary field and induced secondary field. Especially, the secondary field of circular-loop and rectangular-loop is calculated by means of hyper-geometric distribution function and superposed electric-dipole, whose superposition principle is controlled by superposition coefficient. Lastly, this paper presents the comparison result, which enhances the quantitative understanding of this simulation.
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