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
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
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F849b5f85-1e18-473b-8772-ae9929e740d6%2Fd97b9e51-3e03-409d-95f4-d01c74590d71%2Fk2zsh8m_processed.jpeg&w=3840&q=75)
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.
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Calculate the value of i1 and i2 in the given circuit and choose the correct option
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