Solid-state relays uses app note by Vishay in DC application with resistive, capacitive and inductive loads. Link here (PDF)
A solid-state relay (SSR) is an electronic switching device in semiconductor technology. An SSR has a high efficient GaAlAs infrared emitter on the input which is optically coupled to the high performance MOSFETs at the output.
An SSR is capable of switching AC loads where both output MOSFETs are required as well as DC loads where one MOSFET, or two in parallel, can be used.