A system comprising: an aerosol delivery device equipped with a heating element controllable to activate and vaporize components of an aerosol precursor composition, a power source connected to and configured to provide power to an electrical load that includes the heating element, and an induction receiver connected to the power source and including a resonant receiver coupling device; and a charger for the aerosol delivery device, the charger including an induction transmitter including a transmitter coupling device and a pulse width modulation, PWM, inverter configured to drive the transmitter coupling device, the PWM inverter including: a bridge circuit connected 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 current in the resonant receiver coupling device when exposed to the oscillating magnetic field, the induction receiver further including a rectifier configured to convert the alternating current to a direct current from which the power source is rechargeable, wherein the charger further includes a power supply (420; 500) and the power supply (420;500) is or includes a rechargeable supercapacitor and/or a rechargeable battery configured to power the PWM inverter. an aerosol delivery device equipped with a heating element controllable to activate and vaporize components of an aerosol precursor composition, a power source connected to and configured to provide power to an electrical load that includes the heating element, and an induction receiver connected to the power source and including a resonant receiver coupling device; and a charger for the aerosol delivery device, the charger including an induction transmitter including a transmitter coupling device and a pulse width modulation, PWM, inverter configured to drive the transmitter coupling device, the PWM inverter including: a bridge circuit connected 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 current in the resonant receiver coupling device when exposed to the oscillating magnetic field, the induction receiver further including a rectifier configured to convert the alternating current to a direct current from which the power source is rechargeable, wherein the charger further includes a power supply (420; 500) and the power supply (420;500) is or includes a rechargeable supercapacitor and/or a rechargeable battery configured to power the PWM inverter. a bridge circuit connected 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 current in the resonant receiver coupling device when exposed to the oscillating magnetic field, the induction receiver further including a rectifier configured to convert the alternating current to a direct current from which the power source is rechargeable, wherein the charger further includes a power supply (420; 500) and the power supply (420;500) is or includes a rechargeable supercapacitor and/or a rechargeable battery configured to power the PWM inverter.