I realize this thread is 3 years old, but this seems the best thread for a update on installing a dimmer for the under counter strip lights. (as the OP was doing)
We have under counter lights (were rope, now LED) in 4 locations: bath, kitchen counter, dining area counter, and living room area cabinet just behind the passenger seat.
On our 2003 U320, one switch operates all 4 locations. Photo one shows the switch, which is just under the cook top.
This switch has white wires on the two terminals, the top is constant hot 12 volt, the bottom is switched 12 volt to turn on/off all 4 locations of strip lights (previous rope, now LED).
Photo 2 shows the wiring at the switch, and a bundle of 4 green ground wires (top of the photo) connected together (but not connected to any switch).
One of the green wires goes to coach common ground, or "true ground" if you will. One goes to the relay for the electric element of the Aquahot, one is ground for the window valance strip lights, and the 4th is the ground for the under counter lights. (all 4 grounds connected together). The three ground wires going to specific locations have to be connected to the common "true" ground.
I will install a dimmer for only the under counter lights, set it once at the "dimness" we want, then install it hidden under the cook top permanently. We will use only the current on/off switch after that.
This is the dimmer we plan to install: TORCHSTAR PWM Dimming Controller for LED Strip Light, DC 12V - 24V Dimmer Knob ON/OFF Switch with Aluminum Housing, Single Channel 30A
Amazon.com: TORCHSTAR PWM Dimming Controller for LED Strip Light, DC 12V -...
Photo 3 is the dimmer we selected.
For the dimmer positive in, it will be new wire from the switched bottom terminal of the on/off switch. For the dimmer negative in, it will be a new wire connected to the constant "real ground".
For dimmer positive out, it will be the old bottom terminal white wire removed from the on/off switch. For dimmer negative out, it will be the current green ground wire that feeds to the under counter strip lights.
We are not changing the window valance rope lights and have no need to install a 2nd dimmer for that circuit. We use the under counter lights at night, but do not use the valance lights.
Thanks to Roger who I consulted on how the existing wiring is run. I was then able to verify with a volt meter (and splitting the 4 ground wires to check and label what each ground green wire does).
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