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Write the equation for the total resistance of the circuit

Write the equation for the total resistance 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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This diagram represents an electrical circuit featuring both series and parallel resistors connected to a 9V power source. ### Circuit Description: - The circuit begins with a 9V battery on the left side. - The first resistor in the series after the battery is labeled as 1.2K ohms. - Following this is another series resistor also labeled as 1.2K ohms. - After the two 1.2K resistors, the current flows through an 800-ohm resistor. - To the right of the 800-ohm resistor, there is a parallel configuration involving two resistors, each with a resistance of 1.2K ohms. ### Detailed Explanation: - **Series Connection**: The resistors labeled 1.2K ohms and the 800-ohm resistor are in series, meaning their resistances add up, resulting in a higher total resistance along the path. - **Parallel Connection**: At the end of the series connection, two resistors (both 1.2K ohms) are connected in parallel. In a parallel configuration, the total resistance can be calculated using the formula for parallel resistors, which reduces the overall resistance. This circuit can be analyzed to determine the total resistance, current flow, and voltage drop across each component using principles from electrical engineering such as Ohm’s Law and rules for series and parallel circuits.
Transcribed Image Text:This diagram represents an electrical circuit featuring both series and parallel resistors connected to a 9V power source. ### Circuit Description: - The circuit begins with a 9V battery on the left side. - The first resistor in the series after the battery is labeled as 1.2K ohms. - Following this is another series resistor also labeled as 1.2K ohms. - After the two 1.2K resistors, the current flows through an 800-ohm resistor. - To the right of the 800-ohm resistor, there is a parallel configuration involving two resistors, each with a resistance of 1.2K ohms. ### Detailed Explanation: - **Series Connection**: The resistors labeled 1.2K ohms and the 800-ohm resistor are in series, meaning their resistances add up, resulting in a higher total resistance along the path. - **Parallel Connection**: At the end of the series connection, two resistors (both 1.2K ohms) are connected in parallel. In a parallel configuration, the total resistance can be calculated using the formula for parallel resistors, which reduces the overall resistance. This circuit can be analyzed to determine the total resistance, current flow, and voltage drop across each component using principles from electrical engineering such as Ohm’s Law and rules for series and parallel circuits.
**Question:** Write the equation for the total resistance of the circuit. **Answer Choices:** 1. \( R_t = (1.2k + 1.2k) + 800 + (1.2k + 1.2k + 1.2k) \) 2. None of the answers 3. \( R_t = 5 \times 1.2k + 800 = 6.8k \) 4. \( R_t = (1.2k \parallel 1.2k) + 800 + (1.2k \parallel 1.2k \parallel 1.2k) \)
Transcribed Image Text:**Question:** Write the equation for the total resistance of the circuit. **Answer Choices:** 1. \( R_t = (1.2k + 1.2k) + 800 + (1.2k + 1.2k + 1.2k) \) 2. None of the answers 3. \( R_t = 5 \times 1.2k + 800 = 6.8k \) 4. \( R_t = (1.2k \parallel 1.2k) + 800 + (1.2k \parallel 1.2k \parallel 1.2k) \)
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