The dielectric spectra of pure and 0.1% multi-walled-carbon-nanotube-(MWCNT)-doped ferroelectric liquid crystal (FLC) mixture KCFLC10S materials were studied in the 50 Hz to 1MHz frequency range at different bias voltages. An unusual behavior-increase of ${varepsilon}^{prime}$ with increasing E was observed in both samples. It was found that although the relaxation mode was not observable in the MWCNT-FLC sample, the increased effect of the bias voltage on the FLC with the addition of MWCNTs is clearly visible. A theory is presented to explain this effect of MWCNTs in the FLC material.