can an IP address be detective through a mobile device?

If you are online and using internet then you must have IP address. It does not matter of you have have wifi or not so long if you use internet.

The easiest way to find out what is your IP address is by using free IP trackers such as:

http://www.ip-address.org/

http://www.ipaddresslocation.org/

http://www.find-ip-address.org/

You will know what is your IP address and other interesting information's about your computer.

You cannot communicate on the internet or most networks without a unique an traceable IP address.

You can be traced to the residence that obtained the IP from the ISP. The ISP can then provide info to the law enforcement agency.

Just know, despite silly TV shows , your internet connection is traceable to the person paying the ISP bill Its' exact.

Yes,

If you want to be undetectable use a proxy server.