Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Hello I need help with part A, Part B and Part C because I don't know what I keep doing wrong. Can you label which one is which 

## Problem 2: ### Scenario: A lightbulb is in series with a resistor \( R = 2.0 \, \Omega \). The lightbulb dissipates \( P = 10 \, \text{W} \) when this series circuit is connected to a \( \Delta V_{\text{bat}} = 9.0 \, \text{V} \) battery. The task is to determine the current through the lightbulb. ### Steps: 1. **Diagram Construction:** - **Task:** Draw the diagram that represents this electric circuit. - **Guideline:** Use a library of basic symbols for electric circuit drawings as referenced in paragraph 28.1 of the textbook. 2. **Resistance Expression:** - **Objective:** Express the resistance of the lightbulb, \( R_{\text{lb}} \), in terms of the power it dissipates, \( P \), and the current in the circuit, \( I \). - **Note:** Do not plug in the numerical values yet; just write down the formula. 3. **Kirchhoff’s Loop Law:** - **Instruction:** Write down the Kirchhoff’s loop law for this circuit. Formulate this equation in symbolic form. The coefficients must be functions of \( \Delta V_{\text{bat}} \), \( R \), and \( P \). 4. **Numerical Solution:** - **Task:** Plug in the numerical values of the parameters and solve the quadratic equation for \( I \). This will yield two possible values for the current. 5. **Analysis of Results:** - **Consideration:** The two values of \( I \) relate to different lightbulbs (a single lightbulb with a fixed resistance uniquely determines the current). Determine the two possible nominal power ratings of the lightbulbs that satisfy the problem's conditions. ### Diagram Explanation: - **Fig. 2:** Represents the scheme for Problem 2. Ensure to replicate the required elements and symbols accurately, as instructed in the task. This structured breakdown allows students to approach the problem step-by-step, encouraging understanding of both theoretical and practical applications of circuit analysis.
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Transcribed Image Text:## Problem 2: ### Scenario: A lightbulb is in series with a resistor \( R = 2.0 \, \Omega \). The lightbulb dissipates \( P = 10 \, \text{W} \) when this series circuit is connected to a \( \Delta V_{\text{bat}} = 9.0 \, \text{V} \) battery. The task is to determine the current through the lightbulb. ### Steps: 1. **Diagram Construction:** - **Task:** Draw the diagram that represents this electric circuit. - **Guideline:** Use a library of basic symbols for electric circuit drawings as referenced in paragraph 28.1 of the textbook. 2. **Resistance Expression:** - **Objective:** Express the resistance of the lightbulb, \( R_{\text{lb}} \), in terms of the power it dissipates, \( P \), and the current in the circuit, \( I \). - **Note:** Do not plug in the numerical values yet; just write down the formula. 3. **Kirchhoff’s Loop Law:** - **Instruction:** Write down the Kirchhoff’s loop law for this circuit. Formulate this equation in symbolic form. The coefficients must be functions of \( \Delta V_{\text{bat}} \), \( R \), and \( P \). 4. **Numerical Solution:** - **Task:** Plug in the numerical values of the parameters and solve the quadratic equation for \( I \). This will yield two possible values for the current. 5. **Analysis of Results:** - **Consideration:** The two values of \( I \) relate to different lightbulbs (a single lightbulb with a fixed resistance uniquely determines the current). Determine the two possible nominal power ratings of the lightbulbs that satisfy the problem's conditions. ### Diagram Explanation: - **Fig. 2:** Represents the scheme for Problem 2. Ensure to replicate the required elements and symbols accurately, as instructed in the task. This structured breakdown allows students to approach the problem step-by-step, encouraging understanding of both theoretical and practical applications of circuit analysis.
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