Ultimate intrinsic SNR (UISNR) is the theoretically highest SNR for given geometry and electrical properties, independent of the coil design. Here, we introduce an analytic exact expression to calculate the UISNR at the sphere center, enabling to directly analyze the dependence on main magnetic field, sample geometry and electric properties. The analytic expression can approximate the UISNR near the center with < 5% error. This work can enable people without access to the full simulation code to calculate UISNR and use it, for example, as an absolute reference to assess the performance of head coils with spherical phantoms.
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