  The conceptual design study of a Future Circular hadron-hadron Collider
(FCC-hh) to be con-structed at CERN with a center-of-mass energy of the order
of 100 TeV requires superconducting magnetic systems with a central magnetic
flux density of an order of 4 T for the experimental detectors. The developed
concept of the FCC-hh detector involves the use of an iron-free magnetic system
consisting of three superconducting solenoids. A superconducting magnet with a
minimal steel yoke is proposed as an alternative to the baseline iron-free
design. In this study, both magnetic system options for the FCC-hh detector are
modeled with the same electrical parameters using Cobham$'$s program TOSCA. All
the main characteristics of both designs are compared and discussed.
