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In the circuit below, the switch is closed at time t = 0 after being open for a long time. 1. Find v(t) for 0 < t. What is the RC time constant? At time t = 1 second, the switch is suddenly opened. 2. Find v(t) at t = 1 second right before the switch opens. [hint: a capacitor acts as an open circuit when it's in its steady state]. 3. Determine the time it takes the capacitor voltage to decay to 1/3 of its initial value. 4. Find the instantaneous power dissipated by the circuit for all t > 1 second, as well as the total energy dissipated for all t > 1 second. 11 V m 1 ΚΩ 10 ΚΩ 100 μF v(t)

In the circuit below, the switch is closed at time t = 0 after being open for a long time. 1. Find v(t) for 0 < t. What is the RC time constant? At time t = 1 second, the switch is suddenly opened. 2. Find v(t) at t = 1 second right before the switch opens. [hint: a capacitor acts as an open circuit when it's in its steady state]. 3. Determine the time it takes the capacitor voltage to decay to 1/3 of its initial value. 4. Find the instantaneous power dissipated by the circuit for all t > 1 second, as well as the total energy dissipated for all t > 1 second. 11 V m 1 ΚΩ 10 ΚΩ 100 μF v(t)

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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In the circuit below, the switch is closed at time t = 0 after being open for a long time. 1. Find v(t) for 0 < t. What is the RC time constant? At time t = 1 second, the switch is suddenly opened. 2. Find v(t) at t = 1 second right before the switch opens. [hint: a capacitor acts as an open circuit when it's in its steady state]. 3. Determine the time it takes the capacitor voltage to decay to 1/3 of its initial value. 4. Find the instantaneous power dissipated by the circuit for all t > 1 second, as well as the total energy dissipated for all t>1 second. 11 V 1 ΚΩ 10 ΚΩ 100 μF v(t)
Transcribed Image Text:In the circuit below, the switch is closed at time t = 0 after being open for a long time. 1. Find v(t) for 0 < t. What is the RC time constant? At time t = 1 second, the switch is suddenly opened. 2. Find v(t) at t = 1 second right before the switch opens. [hint: a capacitor acts as an open circuit when it's in its steady state]. 3. Determine the time it takes the capacitor voltage to decay to 1/3 of its initial value. 4. Find the instantaneous power dissipated by the circuit for all t > 1 second, as well as the total energy dissipated for all t>1 second. 11 V 1 ΚΩ 10 ΚΩ 100 μF v(t)
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