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The switch in the circuit shown has been closed for a at t=0. long time, and it Fird V(t) for tzo. 40V + t=o 8. opens 10k 2 k + Y 40MF

The switch in the circuit shown has been closed for a at t=0. long time, and it Fird V(t) for tzo. 40V + t=o 8. opens 10k 2 k + Y 40MF

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:** The switch in the circuit shown has been closed for a long time, and it opens at \( t = 0 \). Find \( V(t) \) for \( t \geq 0 \). **Diagram Explanation:** The circuit diagram includes the following components: - A voltage source labeled \( 40V \). - A switch marked as \( t = 0 \) indicating the time at which it opens. - A resistor with a resistance of \( 10k\Omega \) connected in series with the switch. - A parallel arrangement of: - A resistor with a resistance of \( 2k\Omega \). - A capacitor labeled \( 40\mu F \). The task is to calculate the voltage \( V(t) \) across the capacitor for \( t \geq 0 \) after the switch is opened.
Transcribed Image Text:**Problem Statement:** The switch in the circuit shown has been closed for a long time, and it opens at \( t = 0 \). Find \( V(t) \) for \( t \geq 0 \). **Diagram Explanation:** The circuit diagram includes the following components: - A voltage source labeled \( 40V \). - A switch marked as \( t = 0 \) indicating the time at which it opens. - A resistor with a resistance of \( 10k\Omega \) connected in series with the switch. - A parallel arrangement of: - A resistor with a resistance of \( 2k\Omega \). - A capacitor labeled \( 40\mu F \). The task is to calculate the voltage \( V(t) \) across the capacitor for \( t \geq 0 \) after the switch is opened.
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