Different Sidebar Content

Hello,

I am trying to create two sidebar files. I have succeeded in making the two php files and calling the second sidebar on the page I want it to display on.

Here is where I am lost:
Each page needs to show an archive of posts specific to a certain category.

Page One needs to show a sidebar with a monthly archive for posts made in category “A”.

Page Two needs to show a second sidebar with monthly archive posts that were made in category “B”.

Can someone please help me with the code that I need to place in my “sidebar” files for each of these category archives to be displayed separately?

Thank you 🙂