A magnetorheologic clutch includes a stationary part, a rotatable primary part having primary discs, a secondary part having secondary discs, and a chamber containing magnetorheologic fluid formed between the primary and secondary parts that is exposed to an adjustable magnetic field. To make a magnetorheologic clutch as small as possible which is capable of transmitting a peak torque at a minimum power consumption and which is easily controlled, at least one magnet coil is axially arranged before or after the discs and encompasses a first U-shaped cylinder head whose two surfaces are arranged on the side of the discs in a parallel thereto. A second cylinder head is disposed on the side of the discs opposite with respect to the first cylinder head. Areas of the secondary part are radially disposed inside and outside the discs which are made of a low-permeability magnetic material.