An electromagnetically force-compensating force-measuring apparatus (100) that includes a force dependent support coil (2) and an integrating analog/digital converter (10; 10′) that converts the coil current (IS) into a digital output signal. A current/voltage converter (6) is connected downstream of the support coil (2), the output of the current/voltage converter being connected to a measurement voltage input (14) of the analog/digital converter (10; 10′) and to the input of a voltage amplifier (8). The resistance value of a first heating resistor (RSH) is equal to the resistance value of the support coil (2), the resistance value of a second heating resistor (RWH) is equal to the conversion factor (RW) of the current/voltage converter (6) and the gain factor of a voltage amplifier (8) is equal to the ratio of the resistance value of the first heating resistor to the resistance value of the second heating resistor.