A current measuring circuit for redundantly measuring electrical current includes a measuring resistor, a magnetic field sensor, and an evaluation circuit on an evaluation circuit board. The evaluation circuit is used to determine electrical current using the measuring resistor. The magnetic field sensor on the evaluation circuit board and the evaluation circuit board are arranged in direct proximity to the measuring resistor such that the magnetic field sensor is configured to detect the magnetic field from the current-carrying resistor. A battery includes the current measuring circuit and a motor vehicle includes the battery.