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This lecture revisits the Laplace's equation method for calculating the force in an electromechanical system, emphasizing the mutual force between a magnetic field source and a current source. The instructor explains the principles of the equation, demonstrates its application in an electrodynamic actuator, and highlights the importance of considering the external magnetic field created by magnets. The lecture covers the calculation of force using the product of current, length, and magnetic field, illustrating how to determine the direction of force based on the current flow. The instructor emphasizes the significance of mutual force in electromechanical systems and provides insights on optimizing the magnetic flux for efficient force generation.