the capacitor when it gets power charges up..... (sorta like a battery).... when u cut the power to the amp the capacitor will discharge into the amp's turnon lead to keep the amp running for a little longer. The diode stops the discharging from going back into the rest of the cars electricial system and discharging quicker and most likely not keeping the amp going.....
you can do a similar thing with a relay, but the relay's coil will discharge the capacitor quicker than a amp's turn-on lead..... so a larger capacitor would be need to achive the same turn on times....



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