Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
A 15 V battery is connected in series with three resistors: R1 = 20 ohm, R2 = 50 ohm, R3= 80 ohm. Find the voltage across each resistor R1

A 15 V battery is connected in series with three resistors: R1 = 20 ohm, R2 = 50 ohm, R3= 80 ohm. Find the voltage across each resistor R1

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...
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
100%

A 15 V battery is connected in series with three resistors: R1 = 20 ohm, R2 = 50 ohm, R3= 80 ohm. Find the voltage across each resistor R1

### Series Circuit with Three Resistors The given diagram illustrates a simple electrical series circuit consisting of three resistors (\(R_1\), \(R_2\), and \(R_3\)) and a power source (\(V_S\)). #### Components: 1. **Voltage Source (\(V_S\))**: - Represented by a circle with a plus (\(+\)) and minus (\(-\)) sign, indicating the positive and negative terminals of the source. - The voltage source supplies electrical energy to the circuit. 2. **Resistor \(R_1\)**: - Located immediately after the voltage source along the path of the current. - The voltage drop across this resistor is labeled as \(V_1\). 3. **Resistor \(R_2\)**: - Located after \(R_1\) and in series with it. - The voltage drop across this resistor is labeled as \(V_2\). 4. **Resistor \(R_3\)**: - Located after \(R_2\) and also in series with it. - The voltage drop across this resistor is labeled as \(V_3\). #### Key Points: - **Series Circuit**: - In a series circuit, all components are connected end-to-end to form a single path for the current to flow. - The current is the same through each component. - The total resistance (\(R_{total}\)) is the sum of the individual resistances: \[ R_{total} = R_1 + R_2 + R_3 \] - **Voltage Drops**: - The total voltage supplied by the source (\(V_S\)) is equal to the sum of the voltage drops across each resistor: \[ V_S = V_1 + V_2 + V_3 \] This diagram is a fundamental example commonly used in introductory physics and electrical engineering courses to illustrate the principles of series circuits. Understanding this model helps in analyzing more complex circuits and in grasping the basics of electrical resistance and voltage division in series configurations.
Transcribed Image Text:### Series Circuit with Three Resistors The given diagram illustrates a simple electrical series circuit consisting of three resistors (\(R_1\), \(R_2\), and \(R_3\)) and a power source (\(V_S\)). #### Components: 1. **Voltage Source (\(V_S\))**: - Represented by a circle with a plus (\(+\)) and minus (\(-\)) sign, indicating the positive and negative terminals of the source. - The voltage source supplies electrical energy to the circuit. 2. **Resistor \(R_1\)**: - Located immediately after the voltage source along the path of the current. - The voltage drop across this resistor is labeled as \(V_1\). 3. **Resistor \(R_2\)**: - Located after \(R_1\) and in series with it. - The voltage drop across this resistor is labeled as \(V_2\). 4. **Resistor \(R_3\)**: - Located after \(R_2\) and also in series with it. - The voltage drop across this resistor is labeled as \(V_3\). #### Key Points: - **Series Circuit**: - In a series circuit, all components are connected end-to-end to form a single path for the current to flow. - The current is the same through each component. - The total resistance (\(R_{total}\)) is the sum of the individual resistances: \[ R_{total} = R_1 + R_2 + R_3 \] - **Voltage Drops**: - The total voltage supplied by the source (\(V_S\)) is equal to the sum of the voltage drops across each resistor: \[ V_S = V_1 + V_2 + V_3 \] This diagram is a fundamental example commonly used in introductory physics and electrical engineering courses to illustrate the principles of series circuits. Understanding this model helps in analyzing more complex circuits and in grasping the basics of electrical resistance and voltage division in series configurations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Measuring instrument
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)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS