Provided are novel junction boxes for solar modules. The junction boxes or J-boxes can be rotated or otherwise moved to change the module's electrical connection state. According to various embodiments, the J-boxes are movable between two or more orientations each associated with an electrical connection configuration. In particular embodiments, the configurations include two or more of an on position, an off position, an on series configuration, an on series-parallel configuration, and a bypass configuration. A J-box according to certain embodiments includes a replaceable insert. The insert may include one or more bypass diodes, an inverter or a DC/DC converter.