Clutch for a motor vehicle, preferably for engaging and disengaging a drivetrain for all-wheel drive vehicles, comprising a first shaft, a second shaft coaxially arranged with the first shaft, a clutch sleeve, which is displaceable in an axial direction relative to the first shaft and the second shaft and which brings about a positive coupling or decoupling of the first shaft and the second shaft, together with a coil to which current can be applied, wherein the clutch sleeve is arranged, torsionally fixed to the first shaft, and wherein the coil to which current can be applied is arranged coaxially with the axial direction, wherein the clutch sleeve to which current can be applied can be displaced in an axial direction through the application of current to the coil.