I just updated my Ubuntu 12.10 today and it went fine and I was told to restart system and after I restart my WiFi stopped working. Mine is Broadcom BCM4312 card . It was working fine just before the update, I tried reinstalling driver from software sources and it didn’t work, it shows the proprietary driver in use but network manager doesn’t detect my WiFi card.
5 Answers
I just fixed the issue, I found the kernel sources has not been installed which prevented from compiling the driver properly. So I installed kernel source for the current kernel from Synaptic then issued the following commands and my WiFi was instantly restored (like 3 or 5 seconds).
To install kernel headers and source:
sudo apt-get install linux linux-headers-generic kernel-package
sudo apt-get purge b43-fwcutter firmware-b43-installer firmware-b43-lpphy-installer firmware-b43legacy-installer bcmwl*
sudo apt-get install b43-fwcutter firmware-b43-lpphy-installer bcmwl*
Then reboot.
This applies to BCM4312 only (My laptop is Lenovo g450)
For others can see this blog post, this might be useful for you.

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I too had faced this issue.
I connected it to wired lan and I again ran apt-get upgrade
and restarted, then it started working.
I feel this is the worst installation upgrade from Ubuntu.

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sudo apt-get install bcmwl-kernel-source
I had same problem, with this everything will be fine.
If didn't install try first:
sudo apt-get remove bcmwl-kernel-source

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Check /etc/resolv.conf
I was also facing the same issue as loopback address was there as my DNS preference. If this is the case, then correct the dns address to resolve issue.

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Go to Dash -> Software Sources -> Additional Drivers -> Using Broadcom 802.11 Linux ...

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This link might help others with bcm43 series cards
http://lkubuntu.wordpress.com/2011/09/08/how-to-fix-broadcom-43xx/
– Rohith Raveendran Oct 24 '12 at 14:36