Add C file to Visual Studio
If I'm understanding correctly, you want to directly add a C file to the project. Unfortunately, I don't think VS provides any means to do so; you'll just have to rename newly added files.
You can rename a file from within the IDE. Right click the file and hit rename (or click on the file and push F2).
Click file, push F2. http://blackninjagames.com/images/rename_file.PNG
When you "Add New Item", simply include the extension in the "Name:" field and it will override the default for the selected file type.
I've created new item template (add C File Plugin),
You can download: Visual Studio - New Item Template.zip
Extract the ZIP file to:
C:\Users\USERNAME\Documents\Visual Studio 2013\Templates\ItemTemplates\
or (for VS2012):
C:\Users\USERNAME\Documents\Visual Studio 2013\Templates\ItemTemplates\Visual C++ Project
or if you want to put it under "Code" sub category:
C:\Users\USERNAME\Documents\Visual Studio 2013\Templates\ItemTemplates\Visual C++ Project\Code
Or you can read this Tutorial to create custom item template for Visual Studio.