This invention describes a method and apparatus to cancel the mutual inductance between mutually coupled transmit coils, each of the transmit coils fed by individual power amplifiers, and the transmit coils all sharing a common ground with the power amplifiers. The methods and systems disclosed consist of coupling the return legs of each transmit coil to a mutual inductance cancellation circuit near a common ground return connection. The cancellation circuit uses a combination of inductors and capacitors to bridge various combinations of the transmit coils without physically connecting the “bridged” transmit coils. Transmit coils “bridged” using inductors have positive mutual inductance added to them, while transmit coils “bridged” using capacitors have negative mutual inductance added to them. Additionally, manipulation of the transmit coil overlap of overlapping transmit coils and/or manipulation of the location of the cancellation circuit can be used finely tune the mutual inductance between the transmit coils.