A power-supply device for supplying electrical power to a radar device that transmits and receives a continuous wave and detects an object reflecting the continuous wave on the basis of a spectrum of a beat signal of the transmitted and reflected waves. The power-supply device includes a power supply section that generates electrical power in a predefined voltage range through a switching section being turned on and off in response to a switching signal, and a switching signal output section that, outputs the switching signal whose frequency is set within one of assignable bands. This leads to a radar system comprised of the radar device and the power-supply device, capable of securely preventing erroneous detection of a frequency peak of the switching signal as a frequency peak of the object.