Some great ideas here. I should have mentioned the hum is present even with the power supply disconnected. I looked at the inside of the RCA plugs, and since they looked tarnished I rolled up some sandpaper and sanded the interior contact surfaces, and then reconnected them. I took care to bend them inwards a little so they fit tightly. Better, but still a bit of hum. I then switched various power cords, no change. But when I removed the ground wire, dead silence. Interesting! But when I connect the power adapter (which is an 120V AC to 16V AC) the hum went through the roof. The ground wire then reduces the hum to what is was before.
So I am stumped. I am going to look for a new AC adapter. Fortunately 16V is a standard size for home alarm systems.
So I am stumped. I am going to look for a new AC adapter. Fortunately 16V is a standard size for home alarm systems.