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A simplified instrumentation with nominal circuitry has been developed to measure in- and out-of-phase complex magnetic susceptibility of bulk magnetic samples. A unique shape of the absolute coil is implemented to improve the magnetic field homogeneity inside the coil. Complex susceptibility of nano-composite is measured by an innovative phase detection circuit. In this paper, we also discuss in detail the principle, design, and the performance of the instrumentation. This susceptometer is also suitable for liquid samples, viz., ferro-fluids, blood samples, etc.