Electronic – How does a dead battery look in a circuit

batterieskirchhoffs-laws

I'm working on a Kirchhoff's problem where two car batteries are connected in parallel. One is dead and one is good. It's a basic three variable problem where I'm working out the three different currents (I1/I2/I3) in the circuit when the switch is closed.

My question is how do I treat the dead battery in the circuit? I would have thought that being dead you would make the voltage equal 0 Volts because it has no potential for current but my instructor is calculating using it at 12 Volts. Is that correct and if so why?

schematic

simulate this circuit – Schematic created using CircuitLab

Best Answer

By the time a "car battery" gets down to 12 volts, it is considered dead (mostly dead, Princess Bride). Although I think I would agree with you that my first instinct was to think of 0 volts. When I thought about it scientifically, and looked it up :

Other Helpful Voltages

Battery voltage can be higher than 12.6 volts immediately after charging.
Open Circuit Voltage of 12V battery after car is off for one hour | Relative charge
12.4V: 75%
12.2V: 50%
12.1V: 25%
Less than 12 volts: Dead

I should give credit to : http://www.w8ji.com/battery_and_charging_system.htm

View it this way: The internal resistance of the battery (when discharged) becomes high. You could model the "dead" battery as 12 volts with a high resistance in series with the battery.

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