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
Apply the Loop Rule to ABCKFA.
![This image depicts an electrical circuit, commonly known as a Wheatstone bridge, which is used for measuring unknown electrical resistances. The circuit diagram includes five resistors and a galvanometer. Below is a detailed description of the components and their configuration.
### Components:
- **Resistors:**
- \( R_{AB} \): Resistor between points A and B.
- \( R_{BC} \): Resistor between points B and C.
- \( R_{CD} \): Resistor between points C and D.
- \( R_{AD} \): Resistor between points A and D.
- \( R_{G} \): Resistor connected across the galvanometer (between points B and D).
- **Galvanometer (G):**
- Located on the line connecting points B and D and denoted by the letter G. It measures the current flow through this section.
- **Battery:**
- Provides a voltage \( V_o \) and is connected at points F and K, creating a complete circuit.
### Circuit Pathways and Currents:
- Current \( I_1 \) flows from point A to point B.
- Current \( I_2 \) flows from point A to point D.
- Current \( I_3 \) flows through the galvanometer from point B to point D, intersecting at point H.
### Functionality:
In this Wheatstone bridge configuration, the balance condition is achieved when the ratio of the resistances \( \frac{R_{AB}}{R_{BC}} = \frac{R_{AD}}{R_{CD}} \). Under this balance condition, the current through the galvanometer \( G \) becomes zero, indicating that the bridge is balanced, allowing for the calculation of an unknown resistance if three of the resistor values are known.
This circuit is a fundamental tool in electrical engineering and physics for precision measurement of electrical resistances.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d93de19-418c-4f30-8c4a-2a6a3330d625%2F3a66ed92-5ebd-4cce-b6df-9085d8207753%2F1tjvjp_processed.png&w=3840&q=75)
Transcribed Image Text:This image depicts an electrical circuit, commonly known as a Wheatstone bridge, which is used for measuring unknown electrical resistances. The circuit diagram includes five resistors and a galvanometer. Below is a detailed description of the components and their configuration.
### Components:
- **Resistors:**
- \( R_{AB} \): Resistor between points A and B.
- \( R_{BC} \): Resistor between points B and C.
- \( R_{CD} \): Resistor between points C and D.
- \( R_{AD} \): Resistor between points A and D.
- \( R_{G} \): Resistor connected across the galvanometer (between points B and D).
- **Galvanometer (G):**
- Located on the line connecting points B and D and denoted by the letter G. It measures the current flow through this section.
- **Battery:**
- Provides a voltage \( V_o \) and is connected at points F and K, creating a complete circuit.
### Circuit Pathways and Currents:
- Current \( I_1 \) flows from point A to point B.
- Current \( I_2 \) flows from point A to point D.
- Current \( I_3 \) flows through the galvanometer from point B to point D, intersecting at point H.
### Functionality:
In this Wheatstone bridge configuration, the balance condition is achieved when the ratio of the resistances \( \frac{R_{AB}}{R_{BC}} = \frac{R_{AD}}{R_{CD}} \). Under this balance condition, the current through the galvanometer \( G \) becomes zero, indicating that the bridge is balanced, allowing for the calculation of an unknown resistance if three of the resistor values are known.
This circuit is a fundamental tool in electrical engineering and physics for precision measurement of electrical resistances.
![Use Kirchhoff’s junction rule and voltage/loop rule to find the current through each resistor in the following circuit: \( R_{AB} = 10 \, \Omega, \, R_{BC} = 15 \, \Omega, \, R_{AD} = 6 \, \Omega, \, R_{CD} = 12 \, \Omega, \, R_{G} = 4 \, \Omega, \) and \( V_o = 10 \, \text{V}. \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d93de19-418c-4f30-8c4a-2a6a3330d625%2F3a66ed92-5ebd-4cce-b6df-9085d8207753%2Fnf60pt_processed.png&w=3840&q=75)
Transcribed Image Text:Use Kirchhoff’s junction rule and voltage/loop rule to find the current through each resistor in the following circuit: \( R_{AB} = 10 \, \Omega, \, R_{BC} = 15 \, \Omega, \, R_{AD} = 6 \, \Omega, \, R_{CD} = 12 \, \Omega, \, R_{G} = 4 \, \Omega, \) and \( V_o = 10 \, \text{V}. \)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON