Exclude Widget from certain Category Archives

I have a widget that displays “Text A” and a widget that displays “Text B.” I want “Category A” [archive] to show widget “Text A”. Then I want “Category B” [archive] to show widget “Text B”. I am using a plugin called Widget Logic to use conditional statements to only show my widgets on certain pages and stuff, but I don’t know how to do a conditional statement to get it to display on certain category archives.

Does anyone know how I could go about doing this? Even if it doesn’t use the Widget Logic plugin?