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10. For the ladder network given calculate: a) Total Resistance R₁ b) Source current (Is=1₁) c) Using current divider calculate 12 and 13 E 10 V R₁ ww 10 ΚΩ 1₁ 1₂₁ R₂ 20kn R3 13 10 ΚΩ R₁ 20 ΚΩ www

10. For the ladder network given calculate: a) Total Resistance R₁ b) Source current (Is=1₁) c) Using current divider calculate 12 and 13 E 10 V R₁ ww 10 ΚΩ 1₁ 1₂₁ R₂ 20kn R3 13 10 ΚΩ R₁ 20 ΚΩ www

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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**Ladder Network Calculation** For the given ladder network, perform the following calculations: a) **Total Resistance (\(R_T\))** b) **Source Current (\(I_S = I_1\))** c) **Using the Current Divider Rule, calculate \(I_2\) and \(I_3\)** **Diagram Explanation** The circuit diagram shows a ladder network with: - An applied voltage (\(E\)) of 10 V. - Resistor \(R_1\) and \(R_3\) are each 10 kΩ, connected in series. - Resistor \(R_2\) and \(R_4\) are each 20 kΩ, connected in parallel individually with the series configuration. - Currents labeled as \(I_1\), \(I_2\), and \(I_3\) are shown with directional arrows. ### Steps to Calculate 1. **Total Resistance (\(R_T\))** - Combine \(R_1\) and \(R_3\) in series: \(R_{13} = R_1 + R_3\) - Compute resultant resistance with the parallel resistors using \(R_{13}\) with \(R_2\) and \(R_4\). 2. **Source Current (\(I_S = I_1\))** - Use Ohm's Law: \(I_S = \frac{E}{R_T}\). 3. **Current Divider for \(I_2\) and \(I_3\)** - Use current divider rule appropriate for parallel branches to find \(I_2\) and \(I_3\). These concepts highlight the analysis of series and parallel resistor networks, and the application of Ohm’s Law and current division principles to determine network behavior.
Transcribed Image Text:**Ladder Network Calculation** For the given ladder network, perform the following calculations: a) **Total Resistance (\(R_T\))** b) **Source Current (\(I_S = I_1\))** c) **Using the Current Divider Rule, calculate \(I_2\) and \(I_3\)** **Diagram Explanation** The circuit diagram shows a ladder network with: - An applied voltage (\(E\)) of 10 V. - Resistor \(R_1\) and \(R_3\) are each 10 kΩ, connected in series. - Resistor \(R_2\) and \(R_4\) are each 20 kΩ, connected in parallel individually with the series configuration. - Currents labeled as \(I_1\), \(I_2\), and \(I_3\) are shown with directional arrows. ### Steps to Calculate 1. **Total Resistance (\(R_T\))** - Combine \(R_1\) and \(R_3\) in series: \(R_{13} = R_1 + R_3\) - Compute resultant resistance with the parallel resistors using \(R_{13}\) with \(R_2\) and \(R_4\). 2. **Source Current (\(I_S = I_1\))** - Use Ohm's Law: \(I_S = \frac{E}{R_T}\). 3. **Current Divider for \(I_2\) and \(I_3\)** - Use current divider rule appropriate for parallel branches to find \(I_2\) and \(I_3\). These concepts highlight the analysis of series and parallel resistor networks, and the application of Ohm’s Law and current division principles to determine network behavior.
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