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)
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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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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