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For the DC circuit shown below, find the voltage across each resistor and the current in each resistor

For the DC circuit shown below, find the voltage across each resistor and the current in each resistor

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the DC circuit shown below, find the voltage across each resistor and the current in each
resistor.

This image illustrates an electrical circuit containing a 12-volt voltage source and three resistors. - **Voltage Source:** The circuit has a 12 V battery depicted on the left side. - **Resistors:** There are three resistors with the following resistances: - A 5-ohm (Ω) resistor is in series with the voltage source. - A 25-ohm (Ω) resistor and a 9-ohm (Ω) resistor are in parallel with each other. **Explanation of the Circuit Configuration:** 1. **Series Connection:** The 5-ohm resistor is directly connected to the voltage source, meaning the current that flows through it is the same as the current from the battery. 2. **Parallel Connection:** The 25-ohm and 9-ohm resistors are arranged such that they share the same two nodes, which means they are in parallel. This configuration implies that the voltage across these two resistors is the same. **Analysis Elements:** - The total resistance of the circuit can be calculated by finding the equivalent resistance of the parallel portion and then adding it to the series portion. - This circuit can be analyzed using Ohm's Law and techniques for combining resistors in series and parallel. Understanding this configuration is essential for comprehending basic principles of circuit analysis, such as voltage division and current distribution.
Transcribed Image Text:This image illustrates an electrical circuit containing a 12-volt voltage source and three resistors. - **Voltage Source:** The circuit has a 12 V battery depicted on the left side. - **Resistors:** There are three resistors with the following resistances: - A 5-ohm (Ω) resistor is in series with the voltage source. - A 25-ohm (Ω) resistor and a 9-ohm (Ω) resistor are in parallel with each other. **Explanation of the Circuit Configuration:** 1. **Series Connection:** The 5-ohm resistor is directly connected to the voltage source, meaning the current that flows through it is the same as the current from the battery. 2. **Parallel Connection:** The 25-ohm and 9-ohm resistors are arranged such that they share the same two nodes, which means they are in parallel. This configuration implies that the voltage across these two resistors is the same. **Analysis Elements:** - The total resistance of the circuit can be calculated by finding the equivalent resistance of the parallel portion and then adding it to the series portion. - This circuit can be analyzed using Ohm's Law and techniques for combining resistors in series and parallel. Understanding this configuration is essential for comprehending basic principles of circuit analysis, such as voltage division and current distribution.
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