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In this paper, a planar complementing C-shape patch antenna is presented. The optimal design of this antenna offers broadband operation with reasonable radiation pattern. The antenna is modeled as parallel RLC circuit. This compact antenna is realized by employing Duality concept. The antenna achieves -32 dB return loss bandwidth over 2.4 GHz to 4.22 GHz with the resonant frequency at 3.5 GHz, which covers WiMAX and WLAN applications. The CST Microwave studio is employed for designing the antenna. The antenna is fed by a 50-ohm coplanar waveguide (CPW) to make the structure purely planar. The major parameters that influence the performance of the antenna are investigated.