An aerosol delivery device is provided that comprises a control body and an aerosol source member. The aerosol delivery device includes a resonant transformer comprising a resonant transmitter and a resonant receiver. The aerosol source member includes an inhalable substance medium at least a portion of which is positioned proximate the resonant transmitter. The resonant transmitter is configured to generate an oscillating magnetic field and induce an alternating voltage in the resonant receiver when exposed to the oscillating magnetic field, such that the alternating voltage causes the resonant receiver to generate heat and thereby vaporize components of the inhalable substance medium to produce an aerosol. In some implementations, the resonant receiver comprises part of the control body. In other implementations, the resonant receiver comprises part of the aerosol source member.