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The compressor is not going to have any effect on the A/C amplifier. The magnetic clutch is strictly an electromagnet that takes 12 V and turns it to mechanical energy to engage the clutch on the end of the compressor. About the only way the A/C amplifier could be damages is if there's a short in the wiring somewhere or the actual magnetic clutch itself is damaged or defective. That could theoretically overload the circuit to the amplifier. Normally the fuse protection would keep that from happening though.