Thevenin Isc Vth
1. The problem asks whether it is faster to short circuit terminals AB to find the short-circuit current $I_{sc}$ and then determine the Thevenin voltage $V_{th}$.
2. Thevenin's theorem states that any linear circuit with voltage and current sources and resistors can be replaced at terminals AB by an equivalent voltage source $V_{th}$ in series with a resistance $R_{th}$.
3. To find $V_{th}$, you typically remove the load and calculate the open-circuit voltage at terminals AB.
4. To find $I_{sc}$, you short circuit terminals AB and calculate the current through the short.
5. Once you have $I_{sc}$ and $V_{th}$, you can find the Thevenin resistance using the formula:
$$R_{th} = \frac{V_{th}}{I_{sc}}$$
6. Short circuiting terminals AB first to find $I_{sc}$ can be faster in some cases because it directly gives the current without needing to analyze the open-circuit voltage first.
7. However, depending on the circuit complexity, sometimes finding $V_{th}$ first is easier.
8. Both methods are valid and the choice depends on the specific circuit and which calculation is simpler.
9. In summary, short circuiting terminals AB to find $I_{sc}$ first and then calculating $V_{th}$ is a valid and sometimes faster approach to find Thevenin equivalent parameters.