Hey Guy ! You can use RapberryPi SBC for that project that comes with an 10 Base T ethernet/internet port that you can connect to your LAN switch. You connect your potentiometer to GPIO's of the RasPi and write program to convert that to digital , ADC program , because RasPi does not have any direct analog input like arduino. Then access this program over internet using port 8080 by forwarding your router port. You would have to install apache server on RasPi and make several other configurations see on raspi website or just search internet.