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Not a lot! If you look for 'Thyristor' or Triac devices, you will see anything from a milliamp upto some tens of milliamps. Once the device is on, the gate drive may be removed, effectivley no holding current. (note that for AC circuits, the gate will need to be re-applied at the start of every half cycle!. For DC, it just stays on.

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Q: What is holding current in a solid state relay?
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