**Title: Solving Circuit using Kirchhoff’s Laws** **Introduction:** For the circuit depicted in the image, apply Kirchhoff’s Current and Voltage Laws to determine the unknown voltages and currents across the resistors. The calculations and reasoning should be clearly illustrated. **Circuit Description:** 1. **Components:** - Two voltage sources: \( V_{S1} \) and \( V_{S2} \) - Six resistors: \( R1, R2, R3, R4, R5, \) and \( R6 \) - Six currents: \( I_1 \) through \( I_6 \) 2. **Connections:** - The circuit consists of two loops and several nodes with resistors and current paths labeled appropriately. - The current directions are indicated by arrows. **Given Values:** - \( V_{S1} = 18 \, \text{V} \) - \( V_{S2} = 10 \, \text{V} \) - \( V_{R3} = 9 \, \text{V} \) - \( V_{R2} = 4 \, \text{V} \) - \( I_{S1} = 25 \, \text{mA} \) - \( I_{S2} = 35 \, \text{mA} \) - \( I_1 = 12 \, \text{mA} \) - \( I_3 = \) - \( I_4 = 10 \, \text{mA} \) - \( I_5 = \) - \( I_6 = \) **Graphical Explanation:** - **Voltage Sources:** \( V_{S1} \) is placed in the left loop; \( V_{S2} \) in the right loop. - **Currents & Resistors:** Arrows show the direction of current through each resistor, denoted \( I_1 \) to \( I_6 \). The resistors are placed both vertically and horizontally in the circuit. **Problem-Solving Approach:** 1. **Kirchhoff’s Current Law (KCL):** - Analyze nodes to ensure the sum of currents entering a node equals the sum leaving it. 2. **Kirchhoff’s Voltage Law (KVL):** - For each loop in

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**Title: Solving Circuit using Kirchhoff’s Laws**

**Introduction:**

For the circuit depicted in the image, apply Kirchhoff’s Current and Voltage Laws to determine the unknown voltages and currents across the resistors. The calculations and reasoning should be clearly illustrated.

**Circuit Description:**

1. **Components:**
   - Two voltage sources: \( V_{S1} \) and \( V_{S2} \)
   - Six resistors: \( R1, R2, R3, R4, R5, \) and \( R6 \)
   - Six currents: \( I_1 \) through \( I_6 \)

2. **Connections:**
   - The circuit consists of two loops and several nodes with resistors and current paths labeled appropriately.
   - The current directions are indicated by arrows.

**Given Values:**

- \( V_{S1} = 18 \, \text{V} \)
- \( V_{S2} = 10 \, \text{V} \)
- \( V_{R3} = 9 \, \text{V} \)
- \( V_{R2} = 4 \, \text{V} \)

- \( I_{S1} = 25 \, \text{mA} \)
- \( I_{S2} = 35 \, \text{mA} \)
- \( I_1 = 12 \, \text{mA} \)
- \( I_3 = \)
- \( I_4 = 10 \, \text{mA} \)
- \( I_5 = \)
- \( I_6 = \)

**Graphical Explanation:**

- **Voltage Sources:** \( V_{S1} \) is placed in the left loop; \( V_{S2} \) in the right loop.
- **Currents & Resistors:** Arrows show the direction of current through each resistor, denoted \( I_1 \) to \( I_6 \). The resistors are placed both vertically and horizontally in the circuit.

**Problem-Solving Approach:**

1. **Kirchhoff’s Current Law (KCL):**
   - Analyze nodes to ensure the sum of currents entering a node equals the sum leaving it.

2. **Kirchhoff’s Voltage Law (KVL):**
   - For each loop in
Transcribed Image Text:**Title: Solving Circuit using Kirchhoff’s Laws** **Introduction:** For the circuit depicted in the image, apply Kirchhoff’s Current and Voltage Laws to determine the unknown voltages and currents across the resistors. The calculations and reasoning should be clearly illustrated. **Circuit Description:** 1. **Components:** - Two voltage sources: \( V_{S1} \) and \( V_{S2} \) - Six resistors: \( R1, R2, R3, R4, R5, \) and \( R6 \) - Six currents: \( I_1 \) through \( I_6 \) 2. **Connections:** - The circuit consists of two loops and several nodes with resistors and current paths labeled appropriately. - The current directions are indicated by arrows. **Given Values:** - \( V_{S1} = 18 \, \text{V} \) - \( V_{S2} = 10 \, \text{V} \) - \( V_{R3} = 9 \, \text{V} \) - \( V_{R2} = 4 \, \text{V} \) - \( I_{S1} = 25 \, \text{mA} \) - \( I_{S2} = 35 \, \text{mA} \) - \( I_1 = 12 \, \text{mA} \) - \( I_3 = \) - \( I_4 = 10 \, \text{mA} \) - \( I_5 = \) - \( I_6 = \) **Graphical Explanation:** - **Voltage Sources:** \( V_{S1} \) is placed in the left loop; \( V_{S2} \) in the right loop. - **Currents & Resistors:** Arrows show the direction of current through each resistor, denoted \( I_1 \) to \( I_6 \). The resistors are placed both vertically and horizontally in the circuit. **Problem-Solving Approach:** 1. **Kirchhoff’s Current Law (KCL):** - Analyze nodes to ensure the sum of currents entering a node equals the sum leaving it. 2. **Kirchhoff’s Voltage Law (KVL):** - For each loop in
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