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what are all the voltages

what are all the voltages

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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what are all the voltages

This diagram represents an electrical circuit containing a combination of series and parallel resistors connected to a 5V battery. **Circuit Elements:** - **Voltage Source:** - A 5V battery provides the voltage for the circuit. - **Resistors:** - \( R_1 = 1.0 \, \text{k}\Omega \) - \( R_2 = 6.8 \, \text{k}\Omega \) - \( R_3 = 3.3 \, \text{k}\Omega \) - \( R_4 = 10 \, \text{k}\Omega \) - \( R_5 = 5.6 \, \text{k}\Omega \) **Circuit Configuration:** 1. **Series and Parallel Configuration:** - \( R_1 \) is connected in series directly with the 5V battery. - \( R_2 \) and \( R_3 \) are connected in parallel with each other. - This parallel combination is then in series with the parallel combination of \( R_4 \) and \( R_5 \). - The total parallel combination of \( R_2, R_3, R_4, \) and \( R_5 \) is in series with \( R_1 \). **Analysis Explanation:** - The total resistance in the circuit can be determined by calculating the equivalent resistance of the parallel combinations and then adding the resistances in series. - First, determine the equivalent resistance of \( R_2 \) and \( R_3 \) using the formula for parallel resistors: \( \frac{1}{R_{eq1}} = \frac{1}{R_2} + \frac{1}{R_3} \). - Similarly, calculate the equivalent resistance of \( R_4 \) and \( R_5 \): \( \frac{1}{R_{eq2}} = \frac{1}{R_4} + \frac{1}{R_5} \). - The combined equivalent resistances \( R_{eq1} \) and \( R_{eq2} \) are then added to find their total contribution in series with \( R_1 \): \( R_{total} = R_1 + R_{eq1} + R_{eq2} \). This circuit diagram can help students understand the concepts of series and
Transcribed Image Text:This diagram represents an electrical circuit containing a combination of series and parallel resistors connected to a 5V battery. **Circuit Elements:** - **Voltage Source:** - A 5V battery provides the voltage for the circuit. - **Resistors:** - \( R_1 = 1.0 \, \text{k}\Omega \) - \( R_2 = 6.8 \, \text{k}\Omega \) - \( R_3 = 3.3 \, \text{k}\Omega \) - \( R_4 = 10 \, \text{k}\Omega \) - \( R_5 = 5.6 \, \text{k}\Omega \) **Circuit Configuration:** 1. **Series and Parallel Configuration:** - \( R_1 \) is connected in series directly with the 5V battery. - \( R_2 \) and \( R_3 \) are connected in parallel with each other. - This parallel combination is then in series with the parallel combination of \( R_4 \) and \( R_5 \). - The total parallel combination of \( R_2, R_3, R_4, \) and \( R_5 \) is in series with \( R_1 \). **Analysis Explanation:** - The total resistance in the circuit can be determined by calculating the equivalent resistance of the parallel combinations and then adding the resistances in series. - First, determine the equivalent resistance of \( R_2 \) and \( R_3 \) using the formula for parallel resistors: \( \frac{1}{R_{eq1}} = \frac{1}{R_2} + \frac{1}{R_3} \). - Similarly, calculate the equivalent resistance of \( R_4 \) and \( R_5 \): \( \frac{1}{R_{eq2}} = \frac{1}{R_4} + \frac{1}{R_5} \). - The combined equivalent resistances \( R_{eq1} \) and \( R_{eq2} \) are then added to find their total contribution in series with \( R_1 \): \( R_{total} = R_1 + R_{eq1} + R_{eq2} \). This circuit diagram can help students understand the concepts of series and
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