10r resistor burning out

[fredrik]

Related: beads are probably pointless, 10R series resistors may be, see here for an overview of different supply filtering approaches:

Typical module power circuit

Different schools: 10 ohm and capacitor near power header (this basically results in an RC low pass filter, but with a voltage drop over the resistor depending on the current). Usually somewhat pointless (the resistors, not necessarily the capacitors). 10 ohm without capacitors (either using them as fuses, expecting them to die if something’s shorted, or possibly just cargo culting, trying to do the above but forgetting how things work, see “power sins” here for more). Ferrite beads (if done …

(I was about to say that they weren’t pointless in your case, but on the other hand you did replace them with a wire when they burned out, so the net effect is the same )