A wireless power system capable of transmitting power through the skin over distances ranging from a few inches to several feet includes an external transmitting coil assembly and a receiving coil assembly. The transmitting coil assembly includes an excitation coil and transmitting resonant coil which are inductively coupled. The receiving coil assembly includes a receiving resonant coil and a power pick-up coil which are also inductively coupled. A high frequency AC power input supplied to the excitation coil inductively causes the transmitting resonant coil to resonate resulting in a local time varying magnetic field. The transmitting and receiving resonant coils are constructed to have closely matched or identical resonant frequencies so that the transmitting resonant coil's magnetic field causes the receiving resonant coil to resonate strongly also. The receiving resonant coil then creates its own local time varying magnetic field which inductively produces a voltage in a power pick-up coil.