How can I create an inrush current protection?

The easiest solution to this is to use a negative temperature coefficient (NTC) thermistor. Using thermistor alone would be lossy. A relay or MOSFET (Drain - Source) can be placed in parallel to minimize the loss when the input is already stable. You can check the web for different inrush current protection circuits. Inrush current problems are caused by too much capacitance in the circuit.

For a tutorial on how to calculate the appropriate NTC thermistor value, please read Digi-Key Electronics' "Choosing NTC Thermistor for Inrush Current Limiting: Capacitive Applications Tutorial".

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