Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
Current flowing through resistor R4?
### Problem Statement: **Determine the current flowing through resistor \(R_4\), given:** - \(E_T = 15 \, \text{V}\) - \(R_1 = 23 \, \Omega\) - \(R_2 = 14 \, \Omega\) - \(R_3 = 14 \, \Omega\) - \(R_4 = 14 \, \Omega\) *Round the FINAL answer to two decimal places.* --- ### Circuit Diagram Explanation: The circuit diagram provided includes: - A voltage source (\(E_T\)) of 15 volts. - Four resistors: - \(R_1\) is connected in series with the parallel combination of \(R_2\), \(R_3\), and \(R_4\). The resistors \(R_2\), \(R_3\), and \(R_4\) are arranged in parallel, forming a parallel network that is in series with \(R_1\). ### Instructions: To find the current flowing through \(R_4\), perform the following steps: 1. Calculate the equivalent resistance of the parallel network (\(R_2\), \(R_3\), \(R_4\)). 2. Find the total resistance in the circuit. 3. Determine the total current flowing through the circuit using Ohm's Law. 4. Calculate the current through \(R_4\) using the properties of parallel circuits.
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Transcribed Image Text:### Problem Statement: **Determine the current flowing through resistor \(R_4\), given:** - \(E_T = 15 \, \text{V}\) - \(R_1 = 23 \, \Omega\) - \(R_2 = 14 \, \Omega\) - \(R_3 = 14 \, \Omega\) - \(R_4 = 14 \, \Omega\) *Round the FINAL answer to two decimal places.* --- ### Circuit Diagram Explanation: The circuit diagram provided includes: - A voltage source (\(E_T\)) of 15 volts. - Four resistors: - \(R_1\) is connected in series with the parallel combination of \(R_2\), \(R_3\), and \(R_4\). The resistors \(R_2\), \(R_3\), and \(R_4\) are arranged in parallel, forming a parallel network that is in series with \(R_1\). ### Instructions: To find the current flowing through \(R_4\), perform the following steps: 1. Calculate the equivalent resistance of the parallel network (\(R_2\), \(R_3\), \(R_4\)). 2. Find the total resistance in the circuit. 3. Determine the total current flowing through the circuit using Ohm's Law. 4. Calculate the current through \(R_4\) using the properties of parallel circuits.
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