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To find the Thevenin equivalent voltage (\( V_{th} \)) between points \( a \) and \( b \) in this circuit, let's analyze it step-by-step. Here's an overview of the components and sources in the circuit:

1. **Voltage Source**: 12V at the left side.
2. **Resistors**: There are resistors with values 2\(\Omega\), 6\(\Omega\), and 4\(\Omega\).
3. **Current Sources**: There are two current sources: \( i_1 \) and \( i_2 \). The first one is unspecified, while the second is 2A in the middle branch.

Here are the steps to find \( V_{th} \):

### Step 1: Identify the Voltage Across \( a \) and \( b \)

1. Use the superposition theorem or mesh/nodal analysis, considering each source separately to calculate the contributions to the voltage across \( a \) and \( b \).
2. Add these contributions to get the total \( V_{th} \).

Would you like me to delve into superposition or use a specific method?

Find the Thevenin equivalent voltage (Vth) between points a and b in the given circuit.

Learn how to find the Thevenin equivalent voltage (Vth) between points a and b in a circuit containing resistors, voltage, and current sources. This solution covers circuit analysis methods, including Thevenin's and Superposition Theorems. Suitable for electrical engineering students.

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