A lead acid battery with 12 cells connected in series (no-load voltage=2.1 volts per cell) furnishes 10 amperes to a load of 2-ohms resistance. The internal resistance of the battery in this instance is?

1 answer
Question:

A lead acid battery with 12 cells connected in series (no-load voltage=2.1 volts per cell) furnishes 10 amperes to a load of 2-ohms resistance. The internal resistance of the battery in this instance is?

Answers

Answer:[tex]r = 0.043 ohm[/tex]Explanation:As we know that total potential of all cells when they are in series is given as[tex]V = V_1 + V_2 + V_3 + ....................[/tex]so we have[tex]V_{net} = 12(2.1) = 25.2 Volts[/tex]now total resistance of all 12 cells which are in series is given as[tex]r_{net} = 12 r[/tex]external resistance is given as[tex]R = 2 ohm[/tex]now by Ohm's law we know that[tex]V_{net} = i (R + r_{net})[/tex]so we have[tex]25.2 = 10 (2 + 12 r)[/tex][tex]r = 0.043 ohm[/tex]

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