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Find v(t) for t> 0 if the switch is in position 1 for a long time and moves to position: at t=0.

Find v(t) for t> 0 if the switch is in position 1 for a long time and moves to position: at t=0.

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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**Problem Statement:** 4. Find \( v(t) \) for \( t > 0 \) if the switch is in position 1 for a long time and moves to position 2 at \( t = 0 \). **Circuit Diagram Description:** - The circuit includes an inductor of \( 2H \) and resistors of \( 1\Omega \), \( 5\Omega \), and \( 10\Omega \). - A current source of \( 1.5A \) is connected on the left side in series with a \( 1\Omega \) resistor. - The switch has two positions: 1 and 2. **Current Path in Circuit:** - With the switch in position 1: - The current flows through the \( 1\Omega \) resistor, \( 2H \) inductor, and \( 1\Omega\) resistor. - When the switch moves to position 2 at \( t = 0 \): - The newly formed path includes the \( 5\Omega \) and \( 10\Omega \) resistors in series. The goal is to determine the voltage \( v(t) \) across the \( 10\Omega \) resistor for \( t > 0 \).
Transcribed Image Text:**Problem Statement:** 4. Find \( v(t) \) for \( t > 0 \) if the switch is in position 1 for a long time and moves to position 2 at \( t = 0 \). **Circuit Diagram Description:** - The circuit includes an inductor of \( 2H \) and resistors of \( 1\Omega \), \( 5\Omega \), and \( 10\Omega \). - A current source of \( 1.5A \) is connected on the left side in series with a \( 1\Omega \) resistor. - The switch has two positions: 1 and 2. **Current Path in Circuit:** - With the switch in position 1: - The current flows through the \( 1\Omega \) resistor, \( 2H \) inductor, and \( 1\Omega\) resistor. - When the switch moves to position 2 at \( t = 0 \): - The newly formed path includes the \( 5\Omega \) and \( 10\Omega \) resistors in series. The goal is to determine the voltage \( v(t) \) across the \( 10\Omega \) resistor for \( t > 0 \).
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