Please help me, thank you so much. I have underlined what I thought the answer was. The questions are as follows: The switch in the following circuit closes at t = 0 (assume no initial charge on the capacitor). Determine the voltage, vC(t), and the current, iC(t), prior to the switch closing for t = 0‒ Vc(0-)= 0V because the initial charge is 0 Ic(0-)= 0mA because there is no power supply Determine the vC(t) and iC(t) after the switch closes and after a long time (i.e. t = 0+ and t = ∞). Vc(0+)= 0V because the capacitor doesn’t charge instantaneously but increases exponentially. Ic(0+)= Current shoots up to 3.75 mAmps when the switch is closed. Vc(infinity) = asymptotic limit of 637 volts after increasing exponentially. Ic(infinity) = 0 mA after decreasing exponentially Determine the time constant, τ, for t > 0. τ=RC = (0.25uF)*(25.5k ohms) = 0.0063 Write out the equations for the voltage, vC(t), and the current, iC(t), for t > 0. Vc(t)= (637)V(1-e-(t/tau)) Ic(t)= (3.75)mA(e-(t/tau))
Please help me, thank you so much. I have underlined what I thought the answer was. The questions are as follows: The switch in the following circuit closes at t = 0 (assume no initial charge on the capacitor). Determine the voltage, vC(t), and the current, iC(t), prior to the switch closing for t = 0‒ Vc(0-)= 0V because the initial charge is 0 Ic(0-)= 0mA because there is no power supply Determine the vC(t) and iC(t) after the switch closes and after a long time (i.e. t = 0+ and t = ∞). Vc(0+)= 0V because the capacitor doesn’t charge instantaneously but increases exponentially. Ic(0+)= Current shoots up to 3.75 mAmps when the switch is closed. Vc(infinity) = asymptotic limit of 637 volts after increasing exponentially. Ic(infinity) = 0 mA after decreasing exponentially Determine the time constant, τ, for t > 0. τ=RC = (0.25uF)*(25.5k ohms) = 0.0063 Write out the equations for the voltage, vC(t), and the current, iC(t), for t > 0. Vc(t)= (637)V(1-e-(t/tau)) Ic(t)= (3.75)mA(e-(t/tau))
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...
Related questions
Question
Please help me, thank you so much. I have underlined what I thought the answer was. The questions are as follows:
- The switch in the following circuit closes at t = 0 (assume no initial charge on the capacitor).
- Determine the voltage, vC(t), and the current, iC(t), prior to the switch closing for t = 0‒
Vc(0-)= 0V because the initial charge is 0
Ic(0-)= 0mA because there is no power supply
- Determine the vC(t) and iC(t) after the switch closes and after a long time (i.e. t = 0+ and t = ∞).
Vc(0+)= 0V because the capacitor doesn’t charge instantaneously but increases exponentially.
Ic(0+)= Current shoots up to 3.75 mAmps when the switch is closed.
Vc(infinity) = asymptotic limit of 637 volts after increasing exponentially.
Ic(infinity) = 0 mA after decreasing exponentially
- Determine the time constant, τ, for t > 0.
τ=RC = (0.25uF)*(25.5k ohms) = 0.0063
- Write out the equations for the voltage, vC(t), and the current, iC(t), for t > 0.
Vc(t)= (637)V(1-e-(t/tau))
Ic(t)= (3.75)mA(e-(t/tau))
thanks again!
![50k2
Closes at
t = 0
Ic
+
·30kΩ
25mA
Vc
0.25μF
120k2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F907689d5-a85e-46da-a734-c121f23229a3%2F022dfdbb-e7e6-4319-81ba-f9e8403da754%2Flixgsas_processed.jpeg&w=3840&q=75)
Transcribed Image Text:50k2
Closes at
t = 0
Ic
+
·30kΩ
25mA
Vc
0.25μF
120k2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,