To design an electromagnet that achieves a specific repulsive force at a distance of 25mm, understanding Maxwell's Force Formula is essential. The formula provides a way to calculate the force exerted by an electromagnet based on its current, magnetic field strength, and distance. Methodologies for design should include considerations of coil dimensions, wire gauge, and core material to optimize performance. Additionally, practical experimentation may be necessary to refine the design and achieve the desired force. Accurate calculations and adjustments are crucial for successful electromagnet design.