A wireless communications device may include an RF transmitter having an operating frequency range, an RF antenna having an electrical length less than or equal to one-tenth of a wavelength of a lowest operating frequency of the operating frequency range, and an RF matching network coupled between the RF transmitter and the RF antenna. The RF matching network may include a first RF matching transformer, a first inductor coupled between a first reference terminal and a reference voltage, a first resistor coupled across a first output terminal and the first reference terminal and configured to dissipate heat that would otherwise be dissipated by the first RF matching transformer to reduce an operating temperature of the first RF matching transformer, and a heat sink coupled to the first resistor.