It is more complicated than that, not all inverters can use a simple pot, some require a PWM voltage signal to run the dimming function, some (i.e. Taiyo Yuden LS520) require a voltage divider circuit to provide bias voltage to the dimmer circuit on the inverter. In the case of the LS520 there is an internal circuit that compensates for resistive load and would defeat a potentiometer. I was at the electronics store buying parts for this voltage divider circuit just an hour ago. Basically it depends on the brand and model of the inverter as to what method will work.
CCFL Overview: http://power.tdk.com/pdf/dcac/applic...on_Note_97.PDF
Example of TDK inverter w/ dimming circuit: http://power.tdk.com/pdf/dcac/brochu...612_Series.PDF
Example of ERG inverter PWM dimming: http://www.ergpower.com/pdf30/8m121665.pdf
Example of dual backlight LS520 w/ voltage divider dimmer: http://www.t-yuden.com/pdfs/ccflinve...ccfl-ls520.pdf
Disclaimer: I am not an EE and am still learning this stuff, I still let the smoke out of things from time to time.
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