Yes, related to frequency and also to the voltage level.

A good slew rate is probalbly one that is "good enough".

If the amplifier can change its voltage (over time) into a load, then the necessary current is flowing. If not, the voltage won't be there.

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Here's an old amp spec:

**Description: **Power output: 100W into 8 ohms (20dBW), doubles with each halving of load impedance down to 1 ohm. Frequency response: 20Hz–20kHz, +0.0/– .1dB; 1Hz–150kHz, +0.0/–3dB. Distortion: <0.1% at 1kHz; <0.5%, 20kHz, full power. Slew rate: 100V/µs. Input sensitivity: 1.4V RMS. Gain: 26dB. Damping factor: >60. Input impedance: 47k ohms.

Slew Rate - 100V per microsecond.

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Asking ChatGPT what slew rate would be required to output 20khz into 8 ohms at 100 watts:

(long calculation deleted for 28.28Vrms output)

"The amplifier would need a slew rate of approximately 2.513 V/µs or greater to output a signal of 20 kHz into an 8-ohm load at 100 watts power without distortion."