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In electrical and communication systems, thermosets are considered one of the most important classes of dielectric materials. The addition of nanofiller to such materials enhances the electrical properties. Nano-filler additions to thermoset polymers restrict the chain movement in the frequency range of 10-1 to 102 Hz. The measurement in such cases is done using low frequency dielectric spectroscopy. This paper presents the low frequency behavior of nanosized alumina filled epoxy composites in terms of capacitance and tan delta measurements. The results indicate that the tan delta, real and imaginary capacitance values decrease with increase in the frequency. A theoretical model for capacitance has been developed for comparison. It is found that a good correlation exists in respect of capacitance value measured with that of the theoretical ones.