An aerosol delivery device is provided that includes a substrate configured to carry an aerosol precursor composition, and a resonant transformer including a transmitter coupling device and a resonant receiver coupling device that is positioned in proximity to the substrate. The aerosol delivery device also includes a pulse width modulation (PWM) inverter configured to drive the resonant transformer. The PWM inverter includes a bridge circuit coupled to the transmitter coupling device, and a PWM controller embodied as an integrated circuit and configured to output a PWM signal to the bridge circuit configured to drive the transmitter coupling device to generate an oscillating magnetic field and induce an alternating voltage in the resonant receiver coupling device when exposed to the oscillating magnetic field. The alternating voltage causes the resonant receiver coupling device to generate heat and thereby vaporize components of the aerosol precursor composition.