Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Find the input resistance between points A and B of the following resistive network:
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CURRENT THROUGH 2 OHMS( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

### Problem Statement **Question:** Find the current across the resistor \(2 \, \Omega\) in Amperes while the switch \(S\) is closed for a long time. ### Diagram & Analysis The given circuit diagram consists of the following components: - A \(3 \, \text{V}\) battery connected to a \(1 \, \Omega\) resistor, a capacitor \(C\), and a closed switch \(S\). - A \(2 \, \Omega\) resistor in series with an inductor \(L\), and this series combination is parallel to \(C\) and the switch \(S\). - Another part of the circuit features a \(5 \, \text{V}\) battery connected in parallel with a \(4 \, \Omega\) resistor. The circuit is analyzed in a steady state because the switch \(S\) has been closed for a long time. ### Explanation of Diagrams **Circuit Diagram:** - The circuit diagram shows the connections corresponding to resistors, capacitors, inductors, and voltage sources. - The \(3 \, \text{V}\) battery on the left is connected in series with a \(1 \, \Omega\) resistor. - The capacitor \(C\) and the switch \(S\) are connected in parallel, creating a path where the current can flow. - The \(2 \, \Omega\) resistor and inductor \(L\) are in series, forming another parallel path when combined with \(C\) and \(S\). - On the right side, the \(5 \, \text{V}\) battery and \(4 \, \Omega\) resistor create another loop in the circuit. ### Multiple Choice Options The options provided are: A) \(\frac{21}{19} \, \text{A}\) B) \(\frac{21}{14} \, \text{A}\) C) \(\frac{21}{29} \, \text{A}\) D) \(\frac{21}{34} \, \text{A}\) E) \(\frac{21}{39} \, \text{A}\) --- To find the correct answer: 1. **Assume steady-state conditions** due to the long-closed switch, simplifying the analysis. 2. **Apply Kirchhoff’s circuit laws and Ohm’s law** to
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Transcribed Image Text:### Problem Statement **Question:** Find the current across the resistor \(2 \, \Omega\) in Amperes while the switch \(S\) is closed for a long time. ### Diagram & Analysis The given circuit diagram consists of the following components: - A \(3 \, \text{V}\) battery connected to a \(1 \, \Omega\) resistor, a capacitor \(C\), and a closed switch \(S\). - A \(2 \, \Omega\) resistor in series with an inductor \(L\), and this series combination is parallel to \(C\) and the switch \(S\). - Another part of the circuit features a \(5 \, \text{V}\) battery connected in parallel with a \(4 \, \Omega\) resistor. The circuit is analyzed in a steady state because the switch \(S\) has been closed for a long time. ### Explanation of Diagrams **Circuit Diagram:** - The circuit diagram shows the connections corresponding to resistors, capacitors, inductors, and voltage sources. - The \(3 \, \text{V}\) battery on the left is connected in series with a \(1 \, \Omega\) resistor. - The capacitor \(C\) and the switch \(S\) are connected in parallel, creating a path where the current can flow. - The \(2 \, \Omega\) resistor and inductor \(L\) are in series, forming another parallel path when combined with \(C\) and \(S\). - On the right side, the \(5 \, \text{V}\) battery and \(4 \, \Omega\) resistor create another loop in the circuit. ### Multiple Choice Options The options provided are: A) \(\frac{21}{19} \, \text{A}\) B) \(\frac{21}{14} \, \text{A}\) C) \(\frac{21}{29} \, \text{A}\) D) \(\frac{21}{34} \, \text{A}\) E) \(\frac{21}{39} \, \text{A}\) --- To find the correct answer: 1. **Assume steady-state conditions** due to the long-closed switch, simplifying the analysis. 2. **Apply Kirchhoff’s circuit laws and Ohm’s law** to
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