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This paper is devoted to the study and the obtaining of the general relationbetween the real part and the imaginary part of the magnetic susceptibilityfunction in the Laplace domain.  This new theoretical technique is general, and can be applied to any magneticmaterial, that can be considered like causal and Linear time invariant (LTI).  A discussion of the causality which is extensively used in Physics has beendone. To obtain the relations, some important concepts like Titchmarsh'stheorem and Cauchy's Theorem have been reviewed, which results in the integralof a analytic function, that is formed with the magnetic susceptibility used inthe Laplace domain.  The Cauchy Integral expression in the Laplace domain under certain conditionsleads to a general relations between real and imaginary part of the magneticsusceptibility in the complex \textit{s}-plane. These new relationships allowthe validation of the magnetic susceptibilility functions developed bydifferent researchers, in the Laplace domain, not just the frequency responselike the well known Kramers-Kronig relations. Under certain conditions in thesenew general relations, the well known K-K relations can be obtained as aparticular case.

A General Relation Between Real and Imaginary Parts of the Magnetic Susceptibility