Coil Saturation Current Causing Damage

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http://forum.allaboutcircuits.com – Hi, this is my first post here, so hopefully i'm posting in the right place. So my question is, if a simple DC circuit with a series connected inductor and resistor needs 5A for coil saturation, the components in the circuit might overheat and get damaged if allowed to flow for a long time. Is there anyway to mitigate this risk?? I tried to google for solutions but i'm not getting anything. I might be using the wrong keywords though, so if anyone knows the right term i should be googling or any solutions for this, please share it with me. Thank you in advance. (Embedded)