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Flux loops have been installed on select segments of the steel flux return for the 4 T solenoid of the Compact Muon Solenoid (CMS) detector under construction at CERN. This steel also serves as part of the muon detection system of CMS and accurate characterization of the magnetic flux density inside the steel is necessary. Voltages induced in these loops during fast discharge of the solenoid will be sampled and integrated to measure the change in average flux density in the steel due to the discharge. The results of laboratory studies using model iron blocks equipped with flux loops and magnetized with a controlled power supply, are reported.