is it safe to pass 2.55amperes along a 20AWG teflon hook-up wire?

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This means that if the filament transformers are in your treehouse and not on the amp chassis, you need a bigger wire. :) The power transmission rating is conservative, it is for significant distances/buried etc. Note that it rates 12 gauge (US house wire) at 9.3 amps. US code allows 20 amps on it.

Voltage drop is a bigger concern to you, but the wire itself can take quite a bit of current. Most PTFE wire is good to 200C. Resistance is .033 ohms per meter.

For heaters it will be fine, it might be thin in the case of it feeding a 2.5 amp average current to a capacitor input rectifier. It could readily take it, but circuit considerations might suggest heavier wire.
 
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