The inputs of a Beta Lead or Beta Bass use what is thought of as stereo phone jacks. The Switchcraft equivalent is the 12B. The three contacts are called Tip, Ring and Sleeve borrowing from old telephone jargon. When you plug in a mono phone plug, the kind normally found on guitar cords, the Ring contact of the jack is grounded to the Sleeve. Stomp boxes use the same idea to turn the battery on and off. A logic circuit inside the Beta amp detects this and turns the appropriate channels on. The same logic circuit allows the footswitch to control which channel is on if you are using the Both input. If no footswitch is connected, the circuit defaults to both channels on.
Your symptoms would suggest a problem with the power supply for the preamp. This is internal to the amp and needs to be serviced by a qualified technician.