Subjects circuit analysis

Thevenin Voltage

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Thevenin Voltage


1. **Problem Statement:** We need to find the Thevenin voltage $V_{th}$ by short circuiting terminals AB. 2. **Concept:** The Thevenin voltage $V_{th}$ is the open-circuit voltage across terminals AB. When terminals AB are shorted, the voltage across them is zero, but this helps us find the current or other parameters needed to calculate $V_{th}$. 3. **Approach:** - Short circuit terminals AB means connecting a wire with zero resistance between A and B. - Analyze the circuit with this short to find the current through the short. - Use circuit laws (Ohm's law, Kirchhoff's laws) to find the voltage at terminals AB before shorting. 4. **Formula:** $$V_{th} = V_{AB} \text{ (open circuit voltage)}$$ 5. **Steps:** - Short terminals AB. - Calculate the current $I_{sc}$ through the short. - Use the original circuit parameters to find $V_{th}$. 6. **Explanation:** Shorting terminals AB allows us to find the short circuit current $I_{sc}$. Then, using the relationship between $V_{th}$ and $I_{sc}$ with the Thevenin resistance $R_{th}$ (if known), we can find $V_{th}$. If $R_{th}$ is unknown, we find $V_{th}$ directly by analyzing the circuit with terminals AB open. Since the exact circuit values are not provided, this is the general method to find $V_{th}$ by short circuiting terminals AB.