Answer :
The Thévenin and Norton equivalent circuits for the automotive battery are shown below. The Thévenin equivalent circuit has a voltage source of 12.6 V and a resistance of 0.1 Ω in series, while the Norton equivalent circuit has a current source of 100 A and a resistance of 0.1 Ω in parallel.
Thévenin Equivalent Circuit:
```
+---12.6 V---+
| |
| R = 0.1 Ω
| |
+------------+
```
Norton Equivalent Circuit:
```
+---100 A---+
| |
R = 0.1 Ω |
| |
+-----------+
```
The current that the battery can deliver to a short circuit is given by the short-circuit current, which is equal to the open-circuit voltage divided by the internal resistance. Therefore, the short-circuit current is:
Isc = Voc / R = 12.6 V / 0.1 Ω = 126 A
Considering that the energy stored in the battery remains constant under open-circuit conditions, the Thévenin equivalent circuit seems more realistic. This is because the Thévenin equivalent circuit has a voltage source that maintains a constant voltage across the open circuit, while the Norton equivalent circuit has a current source that would deliver an infinite amount of current to an open circuit, which is not realistic.
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