**Problem 4:**The switch in the following circuit has been closed for a long time. At \( t = 0 \)s it opens instantaneously. Assuming \( \beta = 50 \), find:a) The capacitor voltage \( v(t) \) for \( t < 0 \) assuming DC conditions.b) The capacitor voltage \( v(t) \) for \( t > 0 \).c) How many milliseconds after the switch opens is the capacitor voltage 36% of its final value?**Circuit Description:**- The circuit features a current source of \( 120 \, \mu\text{A} \).- There is a \( 33 \, \text{k}\Omega \) resistor and a \( 47 \, \text{k}\Omega \) resistor in series with the closed switch at \( t = 0 \).- A dependent current source, \( \beta i_b \), is present, where \( \beta = 50 \).- The dependent source is connected in parallel with a \( 16 \, \text{k}\Omega \) resistor and a \( 0.25 \, \mu\text{F} \) capacitor.- The voltage across the capacitor is denoted as \( v \).This configuration helps in analyzing the response of the capacitor voltage over time with respect to the switch's action and the dependent source’s influence.

Answered: Image /qna-images/answer/04fe9cce-adf8-4250-a04b-0723f9dcad8f.jpg

Problem 42 t = Os it opens instantaneously. Assuming ß = 50, find: The switch in the following circuit has been closed for a long time. At a) the capacitor voltage v(t) for t < 0 assuming DC conditions. b) the capacitor voltage v(t) for t > 0. c) How many milliseconds after the switch opens is the capacitor voltage 36% of its final value?

Problem 42 t = Os it opens instantaneously. Assuming ß = 50, find: The switch in the following circuit has been closed for a long time. At a) the capacitor voltage v(t) for t < 0 assuming DC conditions. b) the capacitor voltage v(t) for t > 0. c) How many milliseconds after the switch opens is the capacitor voltage 36% of its final value?

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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Question

**Problem 4:**

The switch in the following circuit has been closed for a long time. At \( t = 0 \)s it opens instantaneously. Assuming \( \beta = 50 \), find:

a) The capacitor voltage \( v(t) \) for \( t < 0 \) assuming DC conditions.

b) The capacitor voltage \( v(t) \) for \( t > 0 \).

c) How many milliseconds after the switch opens is the capacitor voltage 36% of its final value?

**Circuit Description:**

- The circuit features a current source of \( 120 \, \mu\text{A} \).
- There is a \( 33 \, \text{k}\Omega \) resistor and a \( 47 \, \text{k}\Omega \) resistor in series with the closed switch at \( t = 0 \).
- A dependent current source, \( \beta i_b \), is present, where \( \beta = 50 \).
- The dependent source is connected in parallel with a \( 16 \, \text{k}\Omega \) resistor and a \( 0.25 \, \mu\text{F} \) capacitor.
- The voltage across the capacitor is denoted as \( v \).

This configuration helps in analyzing the response of the capacitor voltage over time with respect to the switch's action and the dependent source’s influence.

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