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
Calculate the total resistance in ohms (Ω) in the circuit below.
Below are the resistances for the resistors above:
R1 = 5
R2 = 55
R3 = 440
Round to one decimal place.
![The image depicts an electrical circuit diagram. It consists of a series-parallel configuration involving three resistors labeled R1, R2, and R3, along with a voltage source (battery).
### Description:
1. **Voltage Source**:
- The circuit is powered by a battery, represented by the two parallel lines at the top left. The longer line indicates the positive terminal, denoted by a "+" sign, and the shorter line indicates the negative terminal, denoted by a "-" sign.
2. **Resistors**:
- **R1 and R2**: These two resistors are arranged in series with each other. This means the current flows through R1 first and then through R2.
- **R3**: This resistor is in parallel with the combined series arrangement of R1 and R2. This configuration allows the current to divide between the path containing R1 and R2 and the path containing R3.
### Explanation:
- **Series Configuration**: In this setup, the total resistance is the sum of the individual resistances. Thus, \( R_{\text{total-series}} = R1 + R2 \).
- **Parallel Configuration**: For resistors in parallel, the total or equivalent resistance is calculated using the formula:
\[
\frac{1}{R_{\text{total-parallel}}} = \frac{1}{R_{\text{series}}} + \frac{1}{R3}
\]
- Where \( R_{\text{series}} \) is the combined resistance of R1 and R2 in series.
The overall current provided by the battery splits between these two branches, eventually recombining before returning to the negative terminal of the voltage source. This type of circuit is commonly used in electronic applications to manage current flow and stress across different components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35c003a7-fd90-45ca-8436-b9d33624ee5f%2Ff3e1516f-c4ed-46ea-a128-ec3e83962cf4%2F0rw8srn_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts an electrical circuit diagram. It consists of a series-parallel configuration involving three resistors labeled R1, R2, and R3, along with a voltage source (battery).
### Description:
1. **Voltage Source**:
- The circuit is powered by a battery, represented by the two parallel lines at the top left. The longer line indicates the positive terminal, denoted by a "+" sign, and the shorter line indicates the negative terminal, denoted by a "-" sign.
2. **Resistors**:
- **R1 and R2**: These two resistors are arranged in series with each other. This means the current flows through R1 first and then through R2.
- **R3**: This resistor is in parallel with the combined series arrangement of R1 and R2. This configuration allows the current to divide between the path containing R1 and R2 and the path containing R3.
### Explanation:
- **Series Configuration**: In this setup, the total resistance is the sum of the individual resistances. Thus, \( R_{\text{total-series}} = R1 + R2 \).
- **Parallel Configuration**: For resistors in parallel, the total or equivalent resistance is calculated using the formula:
\[
\frac{1}{R_{\text{total-parallel}}} = \frac{1}{R_{\text{series}}} + \frac{1}{R3}
\]
- Where \( R_{\text{series}} \) is the combined resistance of R1 and R2 in series.
The overall current provided by the battery splits between these two branches, eventually recombining before returning to the negative terminal of the voltage source. This type of circuit is commonly used in electronic applications to manage current flow and stress across different components.
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