Say you've got multi-tap output step-up transformer like so:
and you want to be able to change output voltage on-the-fly (without disconnecting output power to switch taps), and in increments smaller than 40V at a time.
Since there is only 120V potential difference between the lowest voltage output and the highest, could you take a 120V variac:
and slap it across the high side output taps like this:
?
Seems to me as it should work and give you variable 900V-1020V output so long as the variac case is not in any way connected to the input or output (remove internal case grounding wire).
I ask because (shamefully) I've never even laid hands on a variac and want to make sure there isn't some fundamental flaw in my logic that experienced variac operators would know about.

and you want to be able to change output voltage on-the-fly (without disconnecting output power to switch taps), and in increments smaller than 40V at a time.
Since there is only 120V potential difference between the lowest voltage output and the highest, could you take a 120V variac:

and slap it across the high side output taps like this:

?
Seems to me as it should work and give you variable 900V-1020V output so long as the variac case is not in any way connected to the input or output (remove internal case grounding wire).
I ask because (shamefully) I've never even laid hands on a variac and want to make sure there isn't some fundamental flaw in my logic that experienced variac operators would know about.