[General Maximus]

Routers are solely responsible for creating and maintaining your network. All your devices, PCs, printers games consoles and whatever else, talk to one another by going through the router. If the router is turned off for whatever reason then you have no internet connection and no local network so your PC cannot connect to the printer for example. All the devices save their network settings including the printer so if they lose their connection for whatever reason they will automatically reestablish it as soon as it comes back up. Normally this happens in the background without you realising and it will take a few mins as the shub goes through its boot process. You shouldn't have to faff around with cables or the shub's settings, as a worse case scenario you would reboot the client as the easiest way of reconnecting it to the network. In this example you would turn the printer off and back on again.

As an fyi wherever possible you should always strive to use wired/ethernet connections purely for avoiding problems like this. My shub, router, pc and laser printer are all in the same room and despite having wireless capability, are connected using cables for a faster and uninterrupted connection.