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3. For the circuit shown below, calculate: a. The total resistance b. The total current c. The total power dissipated in all resistors d. The current in the 40k resistor (R₂) =24V T Vs ww 8kQ R1 ww 8kQ R4 >40kΩ SR2 10kQ SR3

3. For the circuit shown below, calculate: a. The total resistance b. The total current c. The total power dissipated in all resistors d. The current in the 40k resistor (R₂) =24V T Vs ww 8kQ R1 ww 8kQ R4 >40kΩ SR2 10kQ SR3

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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### Circuit Analysis Problem **Problem Statement:** For the circuit shown below, calculate: a. The total resistance b. The total current c. The total power dissipated in all resistors d. The current in the 40kΩ resistor (R₂) **Given Circuit Details:** - A 24V voltage source (Vs). - Four resistors in the circuit: - R₁ = 8kΩ - R₂ = 40kΩ (in parallel) - R₃ = 10kΩ (in parallel with R₂) - R₄ = 8kΩ **Diagram Description:** - The voltage source (Vs) of 24V is connected in series with resistors R1 and R4. - Resistors R2 and R3 are connected in parallel. - The total current flowing from the voltage source is denoted as Iₜ. **Calculation Instructions:** 1. **Total Resistance (Rₜ):** - First, calculate the equivalent resistance of the parallel resistors (R2 and R3). - Then, add this equivalent resistance to the series resistors (R1 and R4). 2. **Total Current (Iₜ):** - Use Ohm's law (V = IR) to determine the total current using the total resistance calculated. 3. **Total Power Dissipation:** - Calculate the power for each resistor using P = I²R or P = V²/R and sum them up for total power dissipation. 4. **Current in 40kΩ Resistor (R₂):** - Use the voltage across the parallel combination of R2 and R3 to find the current through R2 using Ohm's law.
Transcribed Image Text:### Circuit Analysis Problem **Problem Statement:** For the circuit shown below, calculate: a. The total resistance b. The total current c. The total power dissipated in all resistors d. The current in the 40kΩ resistor (R₂) **Given Circuit Details:** - A 24V voltage source (Vs). - Four resistors in the circuit: - R₁ = 8kΩ - R₂ = 40kΩ (in parallel) - R₃ = 10kΩ (in parallel with R₂) - R₄ = 8kΩ **Diagram Description:** - The voltage source (Vs) of 24V is connected in series with resistors R1 and R4. - Resistors R2 and R3 are connected in parallel. - The total current flowing from the voltage source is denoted as Iₜ. **Calculation Instructions:** 1. **Total Resistance (Rₜ):** - First, calculate the equivalent resistance of the parallel resistors (R2 and R3). - Then, add this equivalent resistance to the series resistors (R1 and R4). 2. **Total Current (Iₜ):** - Use Ohm's law (V = IR) to determine the total current using the total resistance calculated. 3. **Total Power Dissipation:** - Calculate the power for each resistor using P = I²R or P = V²/R and sum them up for total power dissipation. 4. **Current in 40kΩ Resistor (R₂):** - Use the voltage across the parallel combination of R2 and R3 to find the current through R2 using Ohm's law.
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