JUST BECAUSE I'VE BEEN ASKED: Yes, there is a electrical cord that has to be plugged in. The wireless connection is between the powered amp and the receiver / transmitter you plug into the guitar.
From the manufacturer:
Here we have the Nady Lightning WGA-15 'The World's First' Wireless Guitar Amp.
'Wireless Freedom for practice sessions, recording, and live Gigs.
- 15W RMS Output 6" Speaker
- Gain, volume level, trebel, and bass controls
Headphone output
- Built-in VHF receiver with receiver on and Audio received LEDs
- Internal Antenna
- Up to 250' typical operating range (up to 500+' line of sight)
- On/ off operationallows convenient audio muting
- low battery indicator
- Locking 3.5mm mini-jack
- Instrument cable Included.
Located in Lombard. Pickup preferred, but S&H available