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o/10 OF Circuit #3 1. Set the battery voltage to 12 V, and the value of one resistor to 10 ohms (R₁ - middle branch) and another to 20 ohms (R₂ - bottom branch). What is the sum of two resistances? What is the voltage loss (potential difference) in the entire circuit? Are the two resistors wired in series or parallel? What are the potential differences across R₁ and R₂? Use Ohm's law to calculate the current flows through each of resistors, R₁ and R₂. What are the values of I and their sum? How does the sum compare with the current flow in the entire circuit? Start with Ohm's law. Write an expression for the total current flow through the circuit in terms of R₁ and R₂. 2. Calculate the equivalent resistance, REQ of the circuit.

o/10 OF Circuit #3 1. Set the battery voltage to 12 V, and the value of one resistor to 10 ohms (R₁ - middle branch) and another to 20 ohms (R₂ - bottom branch). What is the sum of two resistances? What is the voltage loss (potential difference) in the entire circuit? Are the two resistors wired in series or parallel? What are the potential differences across R₁ and R₂? Use Ohm's law to calculate the current flows through each of resistors, R₁ and R₂. What are the values of I and their sum? How does the sum compare with the current flow in the entire circuit? Start with Ohm's law. Write an expression for the total current flow through the circuit in terms of R₁ and R₂. 2. Calculate the equivalent resistance, REQ of the circuit.

Introductory Circuit Analysis (13th Edition)
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...
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### Circuit #3 #### Description This exercise involves a circuit consisting of a battery and two resistors in a parallel configuration. The setup includes: - **Battery**: Provides a voltage of 12 V. - **Resistors**: - \( R_1 = 10 \, \text{ohms} \) (middle branch) - \( R_2 = 20 \, \text{ohms} \) (bottom branch) ### Exercise Instructions 1. **Analyze the Circuit**: - Calculate the sum of the two resistances, \( R_1 \) and \( R_2 \). - Determine the voltage loss (potential difference) across the entire circuit. - Confirm whether the resistors are wired in series or parallel. - Calculate the potential differences across \( R_1 \) and \( R_2 \). - Apply Ohm's law to find the current through each resistor, \( R_1 \) and \( R_2 \). - Calculate the values of current \( I \) through each resistor and their sum. - Compare the sum of the currents with the total current flow in the entire circuit. - Write an expression for the total current flow in terms of \( R_1 \) and \( R_2 \). 2. **Calculate Equivalent Resistance**: - Determine the equivalent resistance, \( R_{\text{EQ}} \), of the circuit. #### Diagram Details The diagram illustrates a parallel circuit where: - The battery connects to two parallel branches. - The middle branch contains \( R_1 \) (10 ohms). - The bottom branch contains \( R_2 \) (20 ohms). - These branches eventually reconverge, completing the circuit loop.
Transcribed Image Text:### Circuit #3 #### Description This exercise involves a circuit consisting of a battery and two resistors in a parallel configuration. The setup includes: - **Battery**: Provides a voltage of 12 V. - **Resistors**: - \( R_1 = 10 \, \text{ohms} \) (middle branch) - \( R_2 = 20 \, \text{ohms} \) (bottom branch) ### Exercise Instructions 1. **Analyze the Circuit**: - Calculate the sum of the two resistances, \( R_1 \) and \( R_2 \). - Determine the voltage loss (potential difference) across the entire circuit. - Confirm whether the resistors are wired in series or parallel. - Calculate the potential differences across \( R_1 \) and \( R_2 \). - Apply Ohm's law to find the current through each resistor, \( R_1 \) and \( R_2 \). - Calculate the values of current \( I \) through each resistor and their sum. - Compare the sum of the currents with the total current flow in the entire circuit. - Write an expression for the total current flow in terms of \( R_1 \) and \( R_2 \). 2. **Calculate Equivalent Resistance**: - Determine the equivalent resistance, \( R_{\text{EQ}} \), of the circuit. #### Diagram Details The diagram illustrates a parallel circuit where: - The battery connects to two parallel branches. - The middle branch contains \( R_1 \) (10 ohms). - The bottom branch contains \( R_2 \) (20 ohms). - These branches eventually reconverge, completing the circuit loop.
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