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Available data on the dielectric properties of biological tissue across a frequency range adds an extra degree of freedom of contrast besides the baseline structural information obtained by conventional imaging techniques. In this paper, we propose a new methodology to non-invasively extract the normalized effective conductivity of samples over a large frequency range using microwave-induced thermoacoustic (TA) signals. Additionally, a calibration approach has been adopted to remove the frequency dependency of the experimental setup errors as well as the RF power variation. The linear relationship between the TA signal amplitude on the absorbed microwave power is used to extract the properties of samples. Saline phantoms with various concentration are used to mimic different tissue materials in the proof-of-concept experiment. The extracted normalized effective conductivity by the proposed method matches the theoretical calculations as well as the direct contact measurements by a dielectric probe.