A current-limiting circuit for limiting the magnitude of an alternating current. The circuit includes a coil unit and a capacitor unit, which are connected electrically in series, and a bypass device for electrically bridging the capacitor unit on occasion of an overcurrent. The bypass device has a first bypass branch and a second bypass branch connected electrically in parallel with the first bypass branch. A third bypass branch is connected electrically in parallel with a second bypass element of the second bypass branch.