The problem here is probably one of routing.
You can only have one default route, which tells your computer how to send network traffic (packets/datagrams) to a given IP address if it doesn't otherwise know how. This is usually set to your internet gateway, possibly hosted by your ISP.
I suspect that you are trying to set both network cards as the default route; in which case, only one will work at a time because you can only have one default.
What you need to do is set up the routing table for the wired ethernet card so that it is not the default route, but does have a routing suitable for the Rio Karma's IP address.
If you can't do that through YaST (I'll check this evening if I remember), then you want to look at the /sbin/route command.
Hope that helps,
— Robert J. Lee
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