Petes21
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It depends upon the current. If less than 1 A use IN4007.If 3 A use 5402.If 4 A use 5408
An LM386 amplifier with a 12V supply has a maximum peak output current of only 400mA into an 8 ohm speaker so a 1A diode will be fine even for a stereo amplifier with two LM386 ICs.
You said the DC jack has a switch that disconnects the battery when DC is used then why do you need a diode?
The coaxial power supply input should always be connected to the circuit or to the on-off power switch. Then the battery is connected to the switch in the coax jack.
When an external power supply is not connected to the jack then the battery is switched to power the circuit.
The switch in the jack disconnects the battery when an external power supply is used and a diode is not needed.
The on-off power switch should switch the positive supply, not the grounds.
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