Abstract: A switchable magnetic apparatus has a front layer, a rear layer, and a manipulating mechanism for changing the relative arrangement of the magnets to change the apparatus between ON and OFF states. The front layer has one or more front-layer magnets and a plurality of interleaved ferromagnetic components. The rear layer has one or more rear-layer magnets. When the magnetic apparatus is OFF, some or all of the rear-layer magnets overlap some or all of the ferromagnetic components, wherein the ferromagnetic components experience opposite poles between the adjacent front-layer magnets compared to the adjacent rear-layer magnet. When the magnetic apparatus is ON, some or all the rear-layer magnets overlap some or all the ferromagnetic components, wherein the ferromagnetic components experience the same magnetic pole from the adjacent front-layer magnets and the adjacent rear-layer magnet.