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What is the voltage across the 5 Ohm resistor when the switch has been in position A for a long time? 12 V 4Ω ww B 0.5 H t=0 AO- 5Ω 6 A

What is the voltage across the 5 Ohm resistor when the switch has been in position A for a long time? 12 V 4Ω ww B 0.5 H t=0 AO- 5Ω 6 A

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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**Circuit Analysis: Determining Voltage Across a Resistor** **Problem Statement:** What is the voltage across the 5 Ohm resistor when the switch has been in position A for a long time? **Diagram Description:** The circuit diagram consists of the following components: 1. **Voltage Source**: 12 V source on the left side of the circuit. 2. **Resistors**: - A 4 Ohm resistor connected in series with the voltage source. - A 5 Ohm resistor located to the right in parallel with the inductor. 3. **Inductor**: A 0.5 H (Henry) inductor situated vertically on the right after the 4 Ohm resistor, and labeled with a voltage drop \( v \) and current \( i \) flowing through it. 4. **Current Source**: 6 A constant current source on the far-right side of the diagram. 5. **Switch**: Initially positioned at point A, with the notation \( t = 0 \) indicating the starting time. **Analysis:** For a long time, the inductor behaves like a short circuit, which means the voltage across it becomes zero. Therefore, the circuit simplifies with the 4 Ohm resistor in series with the voltage source and the parallel combination of the 5 Ohm resistor and the current source. **Objective**: Deduce the voltage across the 5 Ohm resistor when the switch remains at position A for a prolonged period. By calculating current distribution and voltage drops in this steady state, the specific voltage can be determined effectively.
Transcribed Image Text:**Circuit Analysis: Determining Voltage Across a Resistor** **Problem Statement:** What is the voltage across the 5 Ohm resistor when the switch has been in position A for a long time? **Diagram Description:** The circuit diagram consists of the following components: 1. **Voltage Source**: 12 V source on the left side of the circuit. 2. **Resistors**: - A 4 Ohm resistor connected in series with the voltage source. - A 5 Ohm resistor located to the right in parallel with the inductor. 3. **Inductor**: A 0.5 H (Henry) inductor situated vertically on the right after the 4 Ohm resistor, and labeled with a voltage drop \( v \) and current \( i \) flowing through it. 4. **Current Source**: 6 A constant current source on the far-right side of the diagram. 5. **Switch**: Initially positioned at point A, with the notation \( t = 0 \) indicating the starting time. **Analysis:** For a long time, the inductor behaves like a short circuit, which means the voltage across it becomes zero. Therefore, the circuit simplifies with the 4 Ohm resistor in series with the voltage source and the parallel combination of the 5 Ohm resistor and the current source. **Objective**: Deduce the voltage across the 5 Ohm resistor when the switch remains at position A for a prolonged period. By calculating current distribution and voltage drops in this steady state, the specific voltage can be determined effectively.
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