An exhaust-gas turbocharger (1) with a housing (2), a shaft (3) mounted in the housing (2), a compressor wheel (5) arranged on the shaft (3) and a turbine wheel (4) arranged on the shaft (3), a control element (7), an actuator (8), and a regulating rod (9) which connects the actuator (8) to the control element (7), including an electromagnetic damping arrangement (10) having a magnetic-field-generating element (14), and a first coil (15) with a closed electrical circuit (17), with either the magnetic-field-generating element (14) or the first coil (15) being fastened on the regulating rod (9).