JQuery :: Using Tabs And Loading Content By Ajax

I use tabs, loading content by ajax. When I click on a tab, on first load, any access to objects like:
$("#my_input_text").val('my value')
Works fine, but if a click on another tab, and click again to theprevioustab, the same code don't update the input text.I think that is because the document has 2 inputs with the same id after second refresh.

To prove this, I did, on javascript console of firebug:
document.getElementById('my_input_text').id = "bad_my_input_text";
and$("#my_input_text").val('my value')
works again. Exist some way, when click on a new tab, before load a content, clean all data from previous tab?