Question

Find the values of $V_{Th}$ & $R_{Th}$ in the given circuit.

• A. -2 V, 6/5 $\Omega$
• B. 2 V, 5/6 $\Omega$
• C. 1 V, 5/6 $\Omega$
• D. -1 V, 6/5 $\Omega$

Hint:

Thevenin voltage is the open-circuit voltage; Thevenin resistance is found by deactivating all sources.

Answer 1

The Correct Option is C

Step 1: Open the output and find \( V_{Th} \).
Use voltage division or node voltage method to calculate open-circuit voltage.

Step 2: Short voltage source to find \( R_{Th} \).
Combine resistors: 1 Ω in parallel with (2 Ω + 30 Ω) gives:
\[ R_{Th} = \frac{1 \times (2 + 30)}{1 + (2 + 30)} = \frac{32}{33} \approx 0.97 \, \Omega \]

Conclusion: \( V_{Th} = 1 \, \text{V}, \quad R_{Th} \approx \frac{32}{33} \, \Omega \)