The receive coil arrangement includes an inner coil adjacent the part to be imaged so as to maximize the received MR signal and an outer coil, which may be the built in body coil of the magnet, connected by cable to the signal processing system. Both the coils are individually tuned to the common resonant frequency and the receive coil include an arrangement to halt current flow therein during the transmit stage. The first coil has no cable and is arranged to communicate the MR signal therein to the signal processing system through the outer coil by inducing the MR signal onto the outer coil. Despite inherent losses by interfering with the tuning of the loops and in the inductive coupling this magnifies the MR signal and makes the first coil wireless. Arrangements are provided for generating from the output of the second coil separate signals for separate channels of the signal processing unit.