The variable resistor Ro in the circuit in (Figure 1) is adjusted until it absorbs maximum power from the circuit. Suppose that v = 90 V. Figure V + 202 is 4 Ω + us 5Ω 13 i UA 1 of 1 G Ro

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A. Find Ro. B. Find maximum power delivered to Ro. C. Find the percentage of the total power developed in the circuit that is delivered to Ro.
**Text Transcription:**

The variable resistor \( R_o \) in the circuit in (Figure 1) is adjusted until it absorbs maximum power from the circuit. Suppose that \( v = 90 \, \text{V} \).

**Figure Description:**

The circuit diagram includes the following components and layout:

1. **Voltage Source (\( v \))**: 
   - A voltage source of \( 90 \, \text{V} \) is connected on the left side of the circuit.

2. **Resistors**: 
   - A \( 2 \, \Omega \) resistor is connected in series directly from the voltage source.
   - A \( 4 \, \Omega \) resistor is in series with the \( 2 \, \Omega \) resistor.
   - A \( 5 \, \Omega \) resistor is connected in parallel between the junction of the \( 2 \, \Omega \) and \( 4 \, \Omega \) resistors, and a dependent current source.

3. **Dependent Sources**:
   - There is a current-dependent voltage source labeled \( 13i_{\Delta} \) connected in series below the \( 5 \, \Omega \) resistor.
   - Another dependent current source, labeled \( v_{\Delta} \), is placed in parallel with the \( 4 \, \Omega \) resistor.

4. **Variable Resistor (\( R_o \))**:
   - The variable resistor \( R_o \) is connected in parallel with the dependent current source, \( v_{\Delta} \).

**Current Direction**:
- The current \( i_{\Delta} \) flows through the \( 2 \, \Omega \) resistor as indicated by an arrow.

This configuration is user-adjustable, with \( R_o \) being varied for maximum power absorption conditions.
Transcribed Image Text:**Text Transcription:** The variable resistor \( R_o \) in the circuit in (Figure 1) is adjusted until it absorbs maximum power from the circuit. Suppose that \( v = 90 \, \text{V} \). **Figure Description:** The circuit diagram includes the following components and layout: 1. **Voltage Source (\( v \))**: - A voltage source of \( 90 \, \text{V} \) is connected on the left side of the circuit. 2. **Resistors**: - A \( 2 \, \Omega \) resistor is connected in series directly from the voltage source. - A \( 4 \, \Omega \) resistor is in series with the \( 2 \, \Omega \) resistor. - A \( 5 \, \Omega \) resistor is connected in parallel between the junction of the \( 2 \, \Omega \) and \( 4 \, \Omega \) resistors, and a dependent current source. 3. **Dependent Sources**: - There is a current-dependent voltage source labeled \( 13i_{\Delta} \) connected in series below the \( 5 \, \Omega \) resistor. - Another dependent current source, labeled \( v_{\Delta} \), is placed in parallel with the \( 4 \, \Omega \) resistor. 4. **Variable Resistor (\( R_o \))**: - The variable resistor \( R_o \) is connected in parallel with the dependent current source, \( v_{\Delta} \). **Current Direction**: - The current \( i_{\Delta} \) flows through the \( 2 \, \Omega \) resistor as indicated by an arrow. This configuration is user-adjustable, with \( R_o \) being varied for maximum power absorption conditions.
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