Q1a) Application of nodal analysis - No simplification needed 21x 20M lo a) Write controlling current I, in terms of node voltage below b) Write node equation for V, in terms of node voltage V, only [No Ix or I, terms](Don't solve) 40 Ix

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### Application of Nodal Analysis

**No simplification needed**

**a)** Write controlling current \( I_x \) in terms of node voltage [Insert Node Voltage Link] below

**b)** Write node equation for \( V_o \) in terms of node voltage \( V_o \) only [No \( I_x \) or \( I_o \) terms] (Do not solve)

#### Diagram Explanation
The diagram included represents an electrical circuit and can be detailed as follows:

1. **Current Source**: There is a current source labeled as \( 2I_x \) on the far left of the circuit.
2. **Voltage Node \( V_o \)**: Central in the circuit is a voltage node denoted as \( V_o \).
3. **Resistors**:
   - A 2-ohm resistor is connected to the voltage node \( V_o \) and current \( I_o \) flows through it.
   - A 4-ohm resistor at the far right through which current \( I_x \) flows.
4. **Independent Current Source**: There is a 6A independent current source on the circuit, oriented downwards.

**Objective**:
- For part **a)**: Express \( I_x \) as a function of node voltage.
- For part **b)**: Derive the node voltage equation for \( V_o \) in terms of itself, explicitly excluding \( I_x \) and \( I_o \) from the equation.
Transcribed Image Text:### Application of Nodal Analysis **No simplification needed** **a)** Write controlling current \( I_x \) in terms of node voltage [Insert Node Voltage Link] below **b)** Write node equation for \( V_o \) in terms of node voltage \( V_o \) only [No \( I_x \) or \( I_o \) terms] (Do not solve) #### Diagram Explanation The diagram included represents an electrical circuit and can be detailed as follows: 1. **Current Source**: There is a current source labeled as \( 2I_x \) on the far left of the circuit. 2. **Voltage Node \( V_o \)**: Central in the circuit is a voltage node denoted as \( V_o \). 3. **Resistors**: - A 2-ohm resistor is connected to the voltage node \( V_o \) and current \( I_o \) flows through it. - A 4-ohm resistor at the far right through which current \( I_x \) flows. 4. **Independent Current Source**: There is a 6A independent current source on the circuit, oriented downwards. **Objective**: - For part **a)**: Express \( I_x \) as a function of node voltage. - For part **b)**: Derive the node voltage equation for \( V_o \) in terms of itself, explicitly excluding \( I_x \) and \( I_o \) from the equation.
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