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Use ohm's law. The voltage drop across the resistor will be the supply
voltage (13.8) minus the discharged battery voltage (10 volts) or 3.8 volts. R = E / I so 3.8 / 8 = 0.475 ohms. So a 0.5 ohm resistor. The power disipated is I*I*R or 8*8*0.5 = 32W. The battery voltage will quickly climb and the charging current will drop accordingly so the battery takes longer to charge this way but it should be fine if you normally "float" it across the supply to keep it charged *and* it will protect the battery and the supply from over current when it is discharged. |
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