A resistance measuring apparatus includes: a voltage injector that injects an AC signal into a circuit by applying an AC voltage to an injection coil; a current measuring unit that measures an AC current produced in the circuit by the injection coil using a detection coil; a processing unit that calculates the circuit resistance from the AC signal voltage and the measured AC current; and a reference signal generator that outputs a binary reference signal that has a same period as the AC voltage and is synchronized to the clock. The voltage injector generates a stepped wave whose amplitude changes in synchronization with a clock, applies a signal based thereon as the AC voltage. The current measuring unit converts the current in the detection coil to a voltage signal, carries out synchronous detection using the reference signal, and measures the AC current based on the synchronous detection result.