I'm designing a battery charger consisting of an LM317. The regulator will charge three batteries successively, for example, when battery 1 reaches a terminal voltage of 13.8, a voltage comparator will activate a relay that will switch on the second battery while switching off the switch for battery 1. The same will happen to the third battery when the second battery attains a full charge. Also, all the switches are paralleled with a resistor so that a trickle charge will compensate for the self-discharge of the battery when the switch for that battery has been turned off. For a 12V 10Ah, with the configuration attached below, here is my expected current to be delivered to the battery that is currently charging, I = (Vs - Vb) / 1 ohm I have researched the state-of-charge voltage level of the battery, based on a 0.1C charge rate: 80% 13.8V 60% 13.4V 40% 13.1V 20% 12.8V (these are just approximations, the paper where i read this said that the average error is less than 5% ) therefore, as the battery voltage increases, the charging current decreases: Imax = (13.85 - 12) / 1 = 1.85A Imin = (13.85 - 13.8) / 1 = 50mA so that means that from the moment the switch is turned on for the current battery, 1.85A is being delivered, and then when the 80% charge has been reach, only 50mA is being delivered. The remaining capacity will be fully charged by trickle charge. my question is, am I correct with everything I said?