Are there any applications equivalent to Firbug to work on Google Chrome?
Plugins are coming soon
You can embed Firebug Lite into your web pages to get Firebug features in non-FF browsers.
Chrome has it's own DOM-explorer built in I believe.
If don't like the Chrome's console you may use Firebug Lite bookmarklet : http://getfirebug.com/lite.html
Firebug Lite now exists as a native Chrome extension.
It has some limitations, but I much prefer it to the bookmarklet and hopefully the missing functionality will come in time.
Now we just need the plugins as well :D
The "Resources" tab can show you a view similar to the "Network" view in Firebug.