Problems 2: Determine the mesh current il,i2 and i3, for the circuit shown in Figure 2. 4Ω 15 v + 6Ω 13 il 18 Ω 12 Ω 12 + 21 v

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**Problem 2: Determine the mesh currents i1, i2, and i3 for the circuit shown in Figure 2.**

**Figure 2 Description:**

The circuit depicted in Figure 2 consists of three loops with the following components:

1. **Voltage Sources:**
   - A 15 V source is located on the left side of the circuit.
   - A 21 V source is positioned on the right side of the circuit.

2. **Resistors:**
   - A 4 Ω resistor is located on the top side of the middle loop.
   - A 6 Ω resistor is on the left side of the left loop.
   - An 18 Ω resistor is on the top side of the right loop.
   - A 12 Ω resistor is positioned vertically between the two loops.

3. **Mesh Currents:**
   - \( i_1 \) flows clockwise in the left loop.
   - \( i_2 \) flows clockwise in the right loop.
   - \( i_3 \) flows counterclockwise in the central loop.

Each current is denoted with an arrow showing its direction, which helps in determining mesh equations for analysis.
Transcribed Image Text:**Problem 2: Determine the mesh currents i1, i2, and i3 for the circuit shown in Figure 2.** **Figure 2 Description:** The circuit depicted in Figure 2 consists of three loops with the following components: 1. **Voltage Sources:** - A 15 V source is located on the left side of the circuit. - A 21 V source is positioned on the right side of the circuit. 2. **Resistors:** - A 4 Ω resistor is located on the top side of the middle loop. - A 6 Ω resistor is on the left side of the left loop. - An 18 Ω resistor is on the top side of the right loop. - A 12 Ω resistor is positioned vertically between the two loops. 3. **Mesh Currents:** - \( i_1 \) flows clockwise in the left loop. - \( i_2 \) flows clockwise in the right loop. - \( i_3 \) flows counterclockwise in the central loop. Each current is denoted with an arrow showing its direction, which helps in determining mesh equations for analysis.
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