Final answer:
The Thévenin equivalent circuit consists of a voltage source, Vth, in series with an equivalent resistance, Rth. The Norton equivalent circuit consists of a current source, In, in parallel with an equivalent resistance, Rn. The battery can deliver the highest current possible, which is equal to the short-circuit current of 100 A.
Step-by-step explanation:
The Thévenin equivalent circuit consists of a voltage source, Vth, in series with an equivalent resistance, Rth. The Norton equivalent circuit consists of a current source, In, in parallel with an equivalent resistance, Rn. To find the Thévenin and Norton equivalent circuits, we need to determine the values of Vth, Rth, In, and Rn.
Given that the open-circuit voltage is 12.6 V, the Thévenin equivalent voltage, Vth, is 12.6 V. To find the Thévenin equivalent resistance, Rth, we need to calculate the voltage across it when a load resistance, RL, is connected across the battery terminals. Using Ohm's Law, V = I * R, we can find the current, I, as Vth divided by RL. By dividing the voltage across Rth by the current through it, we can find the equivalent resistance.
The Norton equivalent current, In, is 100 A, as given in the question. To find the Norton equivalent resistance, Rn, we can use Ohm's Law and calculate the voltage across it when a current, IL, flows through it. Dividing the voltage across Rn by the current through it, we can find the equivalent resistance.
Therefore, the Thévenin equivalent circuit is a voltage source of 12.6 V in series with an equivalent resistance of Rth. The Norton equivalent circuit is a current source of 100 A in parallel with an equivalent resistance of Rn.
As for the current the battery can deliver to a short circuit, it will be limited by the equivalent resistance of the battery. So, the battery will deliver the highest current possible, which is equal to the short-circuit current. In this case, it is 100 A.