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Empty and fresh battery in series

If you have 2 (e.g. 1.5V) batteries in series and one is dead/empty, what is the reason why a device is not working? Lack of voltage (1.5 + 0 is simply not enough for the device to operate)? From my understanding, for batteries in series, the current is the same as for one of them. So, a common sense says to me that it must somehow connected with voltage, not current. Is it true?