An unloaded guitar cable is a great antenna for hum (so is a single coil pickup). Even worse is a speaker cable, unshielded. Does it hum with the guitar plugged into the amp?
Amps have a shorting jack input that keeps the input shorted to ground until a guitar is plugged into it. With just a cord, you have opened the circuit to all sorts of noise pickup. I see a lot of older amps that have dirty or worn input jack shorting points. These amps will exhibit noise when the volume is turned up. Often I just cleaned and retension the jack and the noise is gone.[This message was edited by Ken Fox on 05 October 2003 at 09:03 AM.]