Methods, apparatus, systems, and articles of manufacture are disclosed to a flux-modulated permanent magnet clutch. Disclosed is a magnetic clutch apparatus comprising a tension spring, an outer ring coupled to the tension spring, the outer ring including a first plurality of magnets, an inner ring coupled to an output shaft, the inner ring including a second plurality of magnets, the outer ring to magnetically engage with the inner ring, and an intermediate ring coupled to an input shaft, the intermediate ring disposed between the inner ring and the outer ring, the intermediate ring including a ferrous metal.