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In the circuit of Fig. 4_5, which of the following statements is true?

In the circuit of Fig. 4_5, which of the following statements is true?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Educational Site Transcription:** **Circuit Analysis Problem** In the circuit of Fig. 4.5, which of the following statements is true? *Circuit Diagram Explanation:* The circuit diagram labeled Fig. 4.5 consists of the following components and connections: - A 2V voltage source connected in series with a 1Ω resistor. - A 5Ω resistor is connected to the positive side of a 3V voltage source. - A 9Ω resistor is connected in parallel between two junctions. - A 6Ω resistor and a 7Ω resistor complete the circuit connections from both ends of the parallel connection to the junctions. - There are three current paths indicated by arrows marked as \( i_1 \), \( i_2 \), and \( i_3 \). *Possible Statements to Evaluate:* 1. \( i_3 = 0.157 \, \text{A} \) 2. \( i_1 = -2 \, \text{A} \) 3. \( i_2 = 3 \, \text{A} \) 4. \( i_3 = 2 \, \text{A} \) Select the true statement among the options given. Use circuit analysis techniques such as Kirchhoff's laws if necessary to determine the correct answer.
Transcribed Image Text:**Educational Site Transcription:** **Circuit Analysis Problem** In the circuit of Fig. 4.5, which of the following statements is true? *Circuit Diagram Explanation:* The circuit diagram labeled Fig. 4.5 consists of the following components and connections: - A 2V voltage source connected in series with a 1Ω resistor. - A 5Ω resistor is connected to the positive side of a 3V voltage source. - A 9Ω resistor is connected in parallel between two junctions. - A 6Ω resistor and a 7Ω resistor complete the circuit connections from both ends of the parallel connection to the junctions. - There are three current paths indicated by arrows marked as \( i_1 \), \( i_2 \), and \( i_3 \). *Possible Statements to Evaluate:* 1. \( i_3 = 0.157 \, \text{A} \) 2. \( i_1 = -2 \, \text{A} \) 3. \( i_2 = 3 \, \text{A} \) 4. \( i_3 = 2 \, \text{A} \) Select the true statement among the options given. Use circuit analysis techniques such as Kirchhoff's laws if necessary to determine the correct answer.
Expert Solution
Step 1: Parameter needs to be identified

In the given circuit the value of the mesh current needs to be calculated and the same can be calculated by using the mesh analysis then the correct option needs to be identified.

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