On fusing variacs/Powerstats, here are edited snippets of a post I made a couple of years ago in the forums about properly fusing a 240V center tapped variac with 120 V input connected to a center tap of the winding to get 0-240V output as a step-up autotransformer.
“Fuse both the input and output for the current rating of the Powerstat…
If you have a 10A Powerstat wired for 120 V in and try to get 240V out, the current ratio is 2:1 and the INPUT 10A fuse will blow if you try to get more than 5A out at 240V, there is no way to get more than 5 A out at a 2:1 ratio-period. The input 10A fuse will protect the Powerstat when set to output more than the input voltage.
If you have this 10A Powerstat wired for 120V in and try to get 12V out, the current ratio is 1:10 and the OUTPUT 10A fuse will blow if you try to get more than 10A out but the input current will only be 1A with 12V at 10A out. If you don't fuse the output and short it, up to 100A will try to flow through the output to cause a 10A current in the input at a 1:10 ratio and the lower end of the variac winding will burn out before the input fuse will blow. The output fuse will protect the Powerstat when set to output voltage less than the input voltage.
The only way to completely protect a Powerstat is to fuse both the input and output for the current rating of the Powerstat.”