Hi Clive
Not sure how IT literate you are, so here is some background
Most modern Routers are best thought of as little, dedicated purpose, computers.
They are controlled by an "app" and or a web page with THEY generate (rather like the B2's UI).
On the Router will be printed its SSID (what it says it is when you want to connect to it via WiFi) and its WiFi password.
Also printed on it will be its (own) IP number and an "Admin" password.
If you enter that IP number into the browser of your computer (like you do for the B2's UI web page) you will access the control pages for your Router. You will be prompted to enter your Admin password to get in.
One of the functions of the Router is to provide unique IP addresses (numbers probable in the range - 192.168.xxx.yyy - where xxx and yyy will vary), via a standard called DHCP, to devices that want to connect to it.
The DHCP standard does not guarantee the same number is given to a connected device each time a connection is requested. HOWEVER it does provide for the "fixing" of a specific IP number to a specific device under user control.
This is what you need to achieve.
You need to let the router assign an IP number to your B2, then go into its admin pages and identify the connected B2 and tell it to always assign that IP number to the B2 in future.
The controls for achieving this differ from manufacturer to manufacturer. If you can tell us what make/model router you have we may be able to point you at the correct controls (if we can find an on-line manual) - no promises though!
Hope this helps
Fred.