A global variable is only global in the Ruby code that is executed on the server.
You're running JavaScript code in the browser. That code has no direct access to variables on the server.
If you wish to change some state (variable) on the server, you need to call a Rails controller method from your JavaScript code. I.e., you need to do an AJAX call to the server from the browser. Something like this:
$("#resetDefaults").click(function() {
$.ajax({ url: "<%= url_for(:action => 'update_path_var') %>" });
return false;
});
Then in the controller you have something like:
def update_path_var
$PATH = 1234
render :nothing => true
end
http://api.jquery.com/jQuery.ajax/
http://apidock.com/rails/ActionController/Base/url_for
BTW, in general using global variables in Ruby is not considered good coding practice, unless there is some very specific reason for it.