FIND THE VOLTAGES IN ALL THE RESISTORS:
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...
Related questions
Concept explainers
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Question
![### Analyzing Circuit Resistors
**Objective:**
Find the voltages across each resistor in the circuit.
**Provided Details:**
- Input Voltage: 48V
- Resistors:
- \( R_1 = 5k\Omega \)
- \( R_2 = 10k\Omega \)
- \( R_3 = 7.5k\Omega \)
**Circuit Diagram:**
The circuit contains three resistors in series, connected to a 48V power supply.
**Task:**
Calculate the voltage drop across each resistor. Use the given resistance values and the total voltage supply to determine the individual voltages using Ohm’s Law.
**Solution Steps:**
1. **Calculate Total Resistance:**
\[
R_{\text{total}} = R_1 + R_2 + R_3 = 5k\Omega + 10k\Omega + 7.5k\Omega = 22.5k\Omega
\]
2. **Find Total Current:**
\[
I = \frac{V_{\text{total}}}{R_{\text{total}}} = \frac{48V}{22.5k\Omega}
\]
3. **Calculate Voltage Across Each Resistor:**
- **Voltage across \( R_1 \) (5kΩ):**
\[
V_1 = I \times R_1
\]
- **Voltage across \( R_2 \) (10kΩ):**
\[
V_2 = I \times R_2
\]
- **Voltage across \( R_3 \) (7.5kΩ):**
\[
V_3 = I \times R_3
\]
**Result:**
- **Voltage \( R_1 \) 5kΩ:**
- **Voltage \( R_2 \) 10kΩ:**
- **Voltage \( R_3 \) 7.5kΩ:**
Conclude each calculation by substituting values to find the exact voltage drops across each resistor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4cec9b8-2d51-42cd-9f2c-ad9a744fc780%2Ff7165171-b881-42ba-8854-cea1c92a8d86%2Fzus9m6p.jpeg&w=3840&q=75)
Transcribed Image Text:### Analyzing Circuit Resistors
**Objective:**
Find the voltages across each resistor in the circuit.
**Provided Details:**
- Input Voltage: 48V
- Resistors:
- \( R_1 = 5k\Omega \)
- \( R_2 = 10k\Omega \)
- \( R_3 = 7.5k\Omega \)
**Circuit Diagram:**
The circuit contains three resistors in series, connected to a 48V power supply.
**Task:**
Calculate the voltage drop across each resistor. Use the given resistance values and the total voltage supply to determine the individual voltages using Ohm’s Law.
**Solution Steps:**
1. **Calculate Total Resistance:**
\[
R_{\text{total}} = R_1 + R_2 + R_3 = 5k\Omega + 10k\Omega + 7.5k\Omega = 22.5k\Omega
\]
2. **Find Total Current:**
\[
I = \frac{V_{\text{total}}}{R_{\text{total}}} = \frac{48V}{22.5k\Omega}
\]
3. **Calculate Voltage Across Each Resistor:**
- **Voltage across \( R_1 \) (5kΩ):**
\[
V_1 = I \times R_1
\]
- **Voltage across \( R_2 \) (10kΩ):**
\[
V_2 = I \times R_2
\]
- **Voltage across \( R_3 \) (7.5kΩ):**
\[
V_3 = I \times R_3
\]
**Result:**
- **Voltage \( R_1 \) 5kΩ:**
- **Voltage \( R_2 \) 10kΩ:**
- **Voltage \( R_3 \) 7.5kΩ:**
Conclude each calculation by substituting values to find the exact voltage drops across each resistor.
Expert Solution
Step 1
The given circuit is redrawn as shown below
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,