I₁ 4Ω 12 V. 5 02- -41₁ +6+713 = 0 O 13 + 12 + 11 = 0 Consider the circuit in the figure and identify which one of the following is not a correct equation generated with Kirchhoff's Rules. 792 ww 12 -713-6+512 - 12 = 0 O 12-512-411 = 0 O-41₁ +51₂ -12 = 0 6 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)...
icon
Related questions
Question
**Transcription for Educational Website:**

---

**Circuit Analysis with Kirchhoff's Rules**

The diagram features an electrical circuit consisting of three resistors and two voltage sources. Here's a detailed description of the components and their arrangement:

- **Resistors**: 
  - \(4 \, \Omega\) (top left)
  - \(7 \, \Omega\) (top right)
  - \(5 \, \Omega\) (center)

- **Voltage Sources**:
  - \(12 \, \text{V}\) (connected across the \(5 \, \Omega\) resistor)
  - \(6 \, \text{V}\) (right side, connected to \(I_3\))

- **Currents**:
  - \(I_1\) (entering through \(4 \, \Omega\) resistor)
  - \(I_2\) (through \(5 \, \Omega\) resistor, opposite \(12 \, \text{V}\) source)
  - \(I_3\) (exiting through \(6 \, \text{V}\) source)

**Task:**

Consider the circuit in the figure and identify which one of the following is not a correct equation generated with Kirchhoff's Rules.

**Options:**
1. \( -4I_1 + 6 + 7I_3 = 0 \)
2. \( I_3 + I_2 + I_1 = 0 \)
3. \( -7I_3 - 6 + 5I_2 - 12 = 0 \)
4. \( 12 - 5I_2 - 4I_1 = 0 \)
5. \( -4I_1 + 5I_2 - 12 = 0 \)

---

This exercise requires analyzing the provided circuit and determining the equation that does not align with Kirchhoff’s Voltage and Current Laws, fundamental tools used in circuit analysis.
Transcribed Image Text:**Transcription for Educational Website:** --- **Circuit Analysis with Kirchhoff's Rules** The diagram features an electrical circuit consisting of three resistors and two voltage sources. Here's a detailed description of the components and their arrangement: - **Resistors**: - \(4 \, \Omega\) (top left) - \(7 \, \Omega\) (top right) - \(5 \, \Omega\) (center) - **Voltage Sources**: - \(12 \, \text{V}\) (connected across the \(5 \, \Omega\) resistor) - \(6 \, \text{V}\) (right side, connected to \(I_3\)) - **Currents**: - \(I_1\) (entering through \(4 \, \Omega\) resistor) - \(I_2\) (through \(5 \, \Omega\) resistor, opposite \(12 \, \text{V}\) source) - \(I_3\) (exiting through \(6 \, \text{V}\) source) **Task:** Consider the circuit in the figure and identify which one of the following is not a correct equation generated with Kirchhoff's Rules. **Options:** 1. \( -4I_1 + 6 + 7I_3 = 0 \) 2. \( I_3 + I_2 + I_1 = 0 \) 3. \( -7I_3 - 6 + 5I_2 - 12 = 0 \) 4. \( 12 - 5I_2 - 4I_1 = 0 \) 5. \( -4I_1 + 5I_2 - 12 = 0 \) --- This exercise requires analyzing the provided circuit and determining the equation that does not align with Kirchhoff’s Voltage and Current Laws, fundamental tools used in circuit analysis.
Expert Solution
Step 1: Data given

An electric circuit is given

We can divide it into two loops and can apply kirchoff voltage rule for two loops separately.


steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
DC circuits
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
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON