Does anybody now if there's a way to use the Ethernet shield without the ethernet cable so it can be connected to the internet without cables (of course with a power supply).
I know it's a weird question but I just want to know if there's any way to do this.
Thanks for your time and sorry for my bad english.
Yes. I use MikroTik equipment to do that. The ethernet shield connects to an ethernet port and the router's wifi radio is set to station mode and connects to an AP. Not the most efficient way financially, but for my applications, it is the best way to accomplish a wireless connection. It is not for the beginner tho.
If you use the correct router, you can connect the Arduino usb to the router for power and a serial connection to the Arduino through the router.
Maybe someone else will come up with a cheaper, easier way.