The drawing shows 3 resistors of R₁ = 28.0 Q. R₂ = 46.0 02. R3 = 76.0 Q. The current through resistor R3 is 13 = 0.530 A. What is the total voltage V the battery supplies? + R2 V R3 ww 81.4 V 125 V 70.6 V 65.3 V 79.5 V
The drawing shows 3 resistors of R₁ = 28.0 Q. R₂ = 46.0 02. R3 = 76.0 Q. The current through resistor R3 is 13 = 0.530 A. What is the total voltage V the battery supplies? + R2 V R3 ww 81.4 V 125 V 70.6 V 65.3 V 79.5 V
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
![**Resistors in a Circuit**
The drawing shows three resistors in a series circuit:
- Resistor \( R_1 = 28.0 \ \Omega \)
- Resistor \( R_2 = 46.0 \ \Omega \)
- Resistor \( R_3 = 76.0 \ \Omega \)
The current through resistor \( R_3 \) is \( I_3 = 0.530 \ A \). The question is: What is the total voltage \( V \) supplied by the battery?
**Circuit Diagram Explanation**
The circuit diagram consists of:
1. A battery symbol with voltage \( V \).
2. Three resistors, \( R_1 \), \( R_2 \), and \( R_3 \), connected in series.
3. The values of the resistors are given and a current \( I_3 \) flowing through \( R_3 \) is specified.
**Steps to find the total voltage \( V \):**
1. Calculate the total resistance \( R_{\text{total}} \) of the series circuit:
\[
R_{\text{total}} = R_1 + R_2 + R_3
\]
Substituting the values,
\[
R_{\text{total}} = 28.0 \ \Omega + 46.0 \ \Omega + 76.0 \ \Omega = 150.0 \ \Omega
\]
2. Use Ohm's Law to find the total voltage \( V \):
\[
V = I_{\text{total}} \times R_{\text{total}}
\]
where \( I_{\text{total}} = I_3 = 0.530 \ A \).
Substituting the values,
\[
V = 0.530 \ A \times 150.0 \ \Omega = 79.5 \ V
\]
3. Therefore, the total voltage \( V \) supplied by the battery is \( 79.5 \ V \).
**Given Options:**
- 81.4 V
- 125 V
- 70.6 V
- 65.3 V
- 79.5 V
**Correct Answer:**
- 79.5 V (as indicated by the selection).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8c51411-3f37-42fd-90a4-ff7604f0a3a2%2Fa37acdf9-50c6-4c8a-ba3a-e6f3bae5c239%2Funtcqxy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Resistors in a Circuit**
The drawing shows three resistors in a series circuit:
- Resistor \( R_1 = 28.0 \ \Omega \)
- Resistor \( R_2 = 46.0 \ \Omega \)
- Resistor \( R_3 = 76.0 \ \Omega \)
The current through resistor \( R_3 \) is \( I_3 = 0.530 \ A \). The question is: What is the total voltage \( V \) supplied by the battery?
**Circuit Diagram Explanation**
The circuit diagram consists of:
1. A battery symbol with voltage \( V \).
2. Three resistors, \( R_1 \), \( R_2 \), and \( R_3 \), connected in series.
3. The values of the resistors are given and a current \( I_3 \) flowing through \( R_3 \) is specified.
**Steps to find the total voltage \( V \):**
1. Calculate the total resistance \( R_{\text{total}} \) of the series circuit:
\[
R_{\text{total}} = R_1 + R_2 + R_3
\]
Substituting the values,
\[
R_{\text{total}} = 28.0 \ \Omega + 46.0 \ \Omega + 76.0 \ \Omega = 150.0 \ \Omega
\]
2. Use Ohm's Law to find the total voltage \( V \):
\[
V = I_{\text{total}} \times R_{\text{total}}
\]
where \( I_{\text{total}} = I_3 = 0.530 \ A \).
Substituting the values,
\[
V = 0.530 \ A \times 150.0 \ \Omega = 79.5 \ V
\]
3. Therefore, the total voltage \( V \) supplied by the battery is \( 79.5 \ V \).
**Given Options:**
- 81.4 V
- 125 V
- 70.6 V
- 65.3 V
- 79.5 V
**Correct Answer:**
- 79.5 V (as indicated by the selection).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON