A circuit arrangement is provided for determining the impedance of a test battery having a first test battery pole of a first polarity and a second test battery pole of a second polarity. The circuit includes a first test connection for connecting the first test battery pole and a second test connection for connecting the second test battery pole, an AC source which is connected to the test connections and by which an alternating current can be applied to the test battery in the connected state, and a voltage detection device which is connected in parallel to the test connections and to the AC source and by which a voltage profile between the test connections can be detected. The voltage detection device has a voltage measurement unit for measuring a voltage profile between two measurement connections of the voltage measurement unit, and a compensation voltage source which is connected in series to the voltage measurement unit, delivers direct current voltage and has a first pole of the first polarity and a second pole of the second polarity. The first pole is connected to the first test connection, the second pole is connected to the first measurement connection and the second measurement connection is connected to the second test connection.