What wattage should the resistor be in a Zobel filter

What wattage should R18 and R19 be?

Zobel filter.jpg
 
It depends. (Of course!)

If that network is on a 5W class A, then low power resistors will be fine, but on the end of a 500 W amp with a tendency to oscillate at 100Khz then they’d need to be big.

To get an idea work out the voltage at full output, then do some ohms law to see what power say R19 dissipates at that voltage. It won’t be quite that high at 20Khz, but it would be at higher frequencies.

At low frequencies neither will dissipate much.

As a rough guide on my blameless amp I think the zobel resistor is 3W and never gets warm.
 
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If the amplifier doesn't oscillate, and if you don't make prolonged stress tests at max amplitude , >20kHz, 1W is sufficient for R18, maybe 3W to be completely safe, and R19 can be as small as as practical: 0.25W for example, except the coil is often directly wound on the resistor body, meaning at least 1W