Linear position sensors are widely used in linear motion-control systems. In this paper, the design, optimization, performance analysis, and prototyping of a linear resolver (LR) are discussed. Mathematical model of the proposed structure is presented based on a simple design-oriented method. Then, a comprehensive iterative design algorithm considering design constraints of linear electromagnetic sensors is proposed. All resistances and inductances of the designed LR are calculated based on the design parameters. Then, a 3-D time-stepping finite-element method is used to validate the design, optimization, and analytical model. Finally, a prototype of the sensor is built and tested. Comparison between the results of simulation and experimental tests verified the success of the proposed structure.