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The variable resistor (R.) in the circuit in Fig. P4.88 is adjusted until it absorbs maximum power from the circuit. a) Find the value of Ro. b) Find the maximum power. c) Find the percentage of the total power devel- oped in the circuit that is delivered to Ro. Figure P4.88 60 V +1 202 ww + VA - + 4Ω www 5Ω is 4 is me ne.no W nio od m 2 VA Ro

The variable resistor (R.) in the circuit in Fig. P4.88 is adjusted until it absorbs maximum power from the circuit. a) Find the value of Ro. b) Find the maximum power. c) Find the percentage of the total power devel- oped in the circuit that is delivered to Ro. Figure P4.88 60 V +1 202 ww + VA - + 4Ω www 5Ω is 4 is me ne.no W nio od m 2 VA Ro

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Please find a, b and c without using PSPICE

--- ### Educational Resource: Exploring Power Absorption in Circuits #### Topic: Optimizing Resistor Power Absorption The variable resistor (\( R_o \)) in the circuit shown in Figure P4.88 is adjusted until it absorbs maximum power from the circuit. **Objective:** 1. **Determine the value of \( R_o \) at maximum power absorption.** 2. **Calculate the maximum power that \( R_o \) can absorb.** 3. **Evaluate the percentage of the total power developed in the circuit that is delivered to \( R_o \).** **Figure P4.88 Explanation:** The circuit in Figure P4.88 consists of the following components: - A 60 V voltage source connected in series with: - A 2 Ω resistor - A 4i_Δ dependent current source - A 5 Ω resistor - A 4 Ω resistor - A variable resistor \( R_o \) - An additional dependent voltage source with a value of 2v_Δ in parallel with \( R_o \). The voltages v_Δ and current i_Δ are variables within the circuit influenced by these components. #### Problems to Solve: ##### a) Finding the Value of \( R_o \): Determine the resistance \( R_o \) which allows maximum power transfer according to the Maximum Power Transfer Theorem. The theorem states that maximum power is delivered to the load (in this case, \( R_o \)) when the load resistance equals the Thevenin resistance of the circuit as seen from the load terminals. ##### b) Finding the Maximum Power: Calculate the maximum power absorbed by \( R_o \) once its optimal value is obtained. Use the formula for power (P) in the resistor: \[ P = \frac{V_{th}^2}{4R_{th}} \] Where \( V_{th} \) is the Thevenin equivalent voltage and \( R_{th} \) is the Thevenin equivalent resistance. ##### c) Percentage of Total Power Delivered: Finally, calculate the percentage of the total power developed in the circuit that is delivered to \( R_o \). This can be done by comparing the power absorbed by \( R_o \) to the total power supplied by the source. \[ \text{Percentage} = \left( \frac{P_{R_o}}{P_{total}} \right) \times 100\
Transcribed Image Text:--- ### Educational Resource: Exploring Power Absorption in Circuits #### Topic: Optimizing Resistor Power Absorption The variable resistor (\( R_o \)) in the circuit shown in Figure P4.88 is adjusted until it absorbs maximum power from the circuit. **Objective:** 1. **Determine the value of \( R_o \) at maximum power absorption.** 2. **Calculate the maximum power that \( R_o \) can absorb.** 3. **Evaluate the percentage of the total power developed in the circuit that is delivered to \( R_o \).** **Figure P4.88 Explanation:** The circuit in Figure P4.88 consists of the following components: - A 60 V voltage source connected in series with: - A 2 Ω resistor - A 4i_Δ dependent current source - A 5 Ω resistor - A 4 Ω resistor - A variable resistor \( R_o \) - An additional dependent voltage source with a value of 2v_Δ in parallel with \( R_o \). The voltages v_Δ and current i_Δ are variables within the circuit influenced by these components. #### Problems to Solve: ##### a) Finding the Value of \( R_o \): Determine the resistance \( R_o \) which allows maximum power transfer according to the Maximum Power Transfer Theorem. The theorem states that maximum power is delivered to the load (in this case, \( R_o \)) when the load resistance equals the Thevenin resistance of the circuit as seen from the load terminals. ##### b) Finding the Maximum Power: Calculate the maximum power absorbed by \( R_o \) once its optimal value is obtained. Use the formula for power (P) in the resistor: \[ P = \frac{V_{th}^2}{4R_{th}} \] Where \( V_{th} \) is the Thevenin equivalent voltage and \( R_{th} \) is the Thevenin equivalent resistance. ##### c) Percentage of Total Power Delivered: Finally, calculate the percentage of the total power developed in the circuit that is delivered to \( R_o \). This can be done by comparing the power absorbed by \( R_o \) to the total power supplied by the source. \[ \text{Percentage} = \left( \frac{P_{R_o}}{P_{total}} \right) \times 100\
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