In the circuit of Fig. 4_3, which of the following statements is true? 6. 6. 12V Oi₁ = 3 A i₁ = -5 A i₂=6 A 1₂=-4 A 22 Fig.4_3 8V W 18 V

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...
icon
Related questions
Question
**In the circuit of Fig. 4_3, which of the following statements is true?**

![Circuit Diagram](#)

**Circuit Description:**

The diagram represents a circuit with the following components:

- A 12V voltage source connected in series with a 6Ω resistor and the current \( i_1 \) flowing clockwise.
- A 2Ω resistor in series with an 8V voltage source, joining back to a node.
- The 18V voltage source on the right is in series with another 6Ω resistor with the current \( i_2 \) flowing in the opposite direction (counterclockwise to \( i_1 \)).
  
**Objective:**

Determine which statement about the currents \( i_1 \) and \( i_2 \) in the circuit is correct:

- \( i_1 = 3 \) A
- \( i_1 = -5 \) A
- \( i_2 = 6 \) A
- \( i_2 = -4 \) A

**Analysis:**

Use Ohm's Law and Kirchhoff's Circuit Laws to analyze the circuit and find out the true statement regarding the currents.
Transcribed Image Text:**In the circuit of Fig. 4_3, which of the following statements is true?** ![Circuit Diagram](#) **Circuit Description:** The diagram represents a circuit with the following components: - A 12V voltage source connected in series with a 6Ω resistor and the current \( i_1 \) flowing clockwise. - A 2Ω resistor in series with an 8V voltage source, joining back to a node. - The 18V voltage source on the right is in series with another 6Ω resistor with the current \( i_2 \) flowing in the opposite direction (counterclockwise to \( i_1 \)). **Objective:** Determine which statement about the currents \( i_1 \) and \( i_2 \) in the circuit is correct: - \( i_1 = 3 \) A - \( i_1 = -5 \) A - \( i_2 = 6 \) A - \( i_2 = -4 \) A **Analysis:** Use Ohm's Law and Kirchhoff's Circuit Laws to analyze the circuit and find out the true statement regarding the currents.
Expert Solution
Step 1: Determine the question

Calculate the value of i1 and i2 in the given circuit and choose the correct option

Electrical Engineering homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Nodal analysis
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,