FIGURE P3.65 R₁ 2.5 ΚΩ 25 V R4 5 ΚΩ 13 V₁ www V₂ w R3 1 ΚΩ R5 5 ΚΩ 10 Ig R₂ 5 ΚΩ 6 mA w V3 R6 4 ΚΩ

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Is there a way to do number 3.65 algebraicly or do I have to resort to MATLAB.

## Supermesh Problems

### 3.64
**Task**: Find mesh currents \( I_1, I_2, I_3 \) and node voltages \( V_1 \) and \( V_2 \) in the circuit shown in Figure P3.64.

**Figure P3.64 Explanation**:
- *Components*: 
  - Resistor \( R_1 = 0.5 \, \text{k}\Omega \)
  - Resistor \( R_2 = 1 \, \text{k}\Omega \)
  - Resistor \( R_3 = 1 \, \text{k}\Omega \)
  - Resistor \( R_4 = 0.5 \, \text{k}\Omega \)
  - Voltage source \( V_s = 9 \, \text{V} \)
  - Current source \( I_s = 9 \, \text{mA} \)

### 3.65
**Task**: Find the mesh currents \( I_1, I_2, I_3, I_4 \) and node voltages \( V_1, V_2, V_3 \) in the circuit shown in Figure P3.65.

**Figure P3.65 Explanation**:
- *Components*:
  - Resistor \( R_1 = 2.5 \, \text{k}\Omega \)
  - Resistor \( R_2 = 5 \, \text{k}\Omega \)
  - Resistor \( R_3 = 1 \, \text{k}\Omega \)
  - Resistor \( R_4 = 5 \, \text{k}\Omega \)
  - Resistor \( R_5 = 5 \, \text{k}\Omega \)
  - Resistor \( R_6 = 4 \, \text{k}\Omega \)
  - Voltage source \( V_s = 25 \, \text{V} \)
  - Current source \( I_s = 6 \, \text{mA} \)

### 3.66
**Task**: Use mesh analysis to find the voltage \( V \) in the circuit shown in Figure P3.66.

**Figure P3.66 Explanation**:
- *Components*:
  - Resistor \( R_1 = 6 \, \text{k}\Omega \)
Transcribed Image Text:## Supermesh Problems ### 3.64 **Task**: Find mesh currents \( I_1, I_2, I_3 \) and node voltages \( V_1 \) and \( V_2 \) in the circuit shown in Figure P3.64. **Figure P3.64 Explanation**: - *Components*: - Resistor \( R_1 = 0.5 \, \text{k}\Omega \) - Resistor \( R_2 = 1 \, \text{k}\Omega \) - Resistor \( R_3 = 1 \, \text{k}\Omega \) - Resistor \( R_4 = 0.5 \, \text{k}\Omega \) - Voltage source \( V_s = 9 \, \text{V} \) - Current source \( I_s = 9 \, \text{mA} \) ### 3.65 **Task**: Find the mesh currents \( I_1, I_2, I_3, I_4 \) and node voltages \( V_1, V_2, V_3 \) in the circuit shown in Figure P3.65. **Figure P3.65 Explanation**: - *Components*: - Resistor \( R_1 = 2.5 \, \text{k}\Omega \) - Resistor \( R_2 = 5 \, \text{k}\Omega \) - Resistor \( R_3 = 1 \, \text{k}\Omega \) - Resistor \( R_4 = 5 \, \text{k}\Omega \) - Resistor \( R_5 = 5 \, \text{k}\Omega \) - Resistor \( R_6 = 4 \, \text{k}\Omega \) - Voltage source \( V_s = 25 \, \text{V} \) - Current source \( I_s = 6 \, \text{mA} \) ### 3.66 **Task**: Use mesh analysis to find the voltage \( V \) in the circuit shown in Figure P3.66. **Figure P3.66 Explanation**: - *Components*: - Resistor \( R_1 = 6 \, \text{k}\Omega \)
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