Consider the circuit below. In this circuit Vs = 10 Volts, R = 10000, C = 1μµF, L = : 1µH. Identify the correct pair of voltage (across capacitor) and current (either inductor or capacitor) + VR(t) AAA
Consider the circuit below. In this circuit Vs = 10 Volts, R = 10000, C = 1μµF, L = : 1µH. Identify the correct pair of voltage (across capacitor) and current (either inductor or capacitor) + VR(t) AAA
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
![**Transcription for Educational Website**
---
**Problem Statement:**
Consider the circuit below. In this circuit \( V_s = 10 \text{ Volts}, \ R = 1000 \Omega, \ C = 1 \mu F, \ L = 1 \mu H. \)
Identify the correct pair of voltage (across capacitor) and current (either inductor or capacitor).
---
**Circuit Diagram:**
The diagram displays a simple series RLC circuit with the following components:
- A voltage source, \( V_s \).
- A resistor \( R \) with voltage across it denoted as \( V_R(t) \).
- A capacitor \( C \) with voltage across it denoted as \( V_C(t) \).
- An inductor \( L \) with current through it denoted as \( I_L(t) \) and voltage across it \( V_L(t) \).
The switch in the circuit is closed at \( t = 0 \).
---
**Answer Options:**
- **a.**
\[
V_C(t) = 10 \sin(2\pi \times 10^6 t), \quad I_C(t) = 10 \sin(2\pi \times 10^6 t)
\]
- **b.**
\[
V_C(t) = 10 \sin(10^6 t), \quad I_L(t) = 10 \cos(10^6 t)
\]
- **c.**
\[
V_C(t) = 10 \cos(10^6 t), \quad I_L(t) = 10 \sin(10^6 t)
\]
- **d.**
\[
V_C(t) = 10 \cos(2\pi \times 10^6 t), \quad I_L(t) = -10 \sin(2\pi \times 10^6 t)
\]
---
**Instructions:**
Select the correct pair of mathematical functions that represent the voltage across the capacitor and the current through either the inductor or the capacitor in this circuit configuration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F474861d3-aaf1-4b4c-afe2-e250091335e4%2F7b56fc80-ad46-46d9-9ef2-9f87546271f8%2Ft0fltt_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Problem Statement:**
Consider the circuit below. In this circuit \( V_s = 10 \text{ Volts}, \ R = 1000 \Omega, \ C = 1 \mu F, \ L = 1 \mu H. \)
Identify the correct pair of voltage (across capacitor) and current (either inductor or capacitor).
---
**Circuit Diagram:**
The diagram displays a simple series RLC circuit with the following components:
- A voltage source, \( V_s \).
- A resistor \( R \) with voltage across it denoted as \( V_R(t) \).
- A capacitor \( C \) with voltage across it denoted as \( V_C(t) \).
- An inductor \( L \) with current through it denoted as \( I_L(t) \) and voltage across it \( V_L(t) \).
The switch in the circuit is closed at \( t = 0 \).
---
**Answer Options:**
- **a.**
\[
V_C(t) = 10 \sin(2\pi \times 10^6 t), \quad I_C(t) = 10 \sin(2\pi \times 10^6 t)
\]
- **b.**
\[
V_C(t) = 10 \sin(10^6 t), \quad I_L(t) = 10 \cos(10^6 t)
\]
- **c.**
\[
V_C(t) = 10 \cos(10^6 t), \quad I_L(t) = 10 \sin(10^6 t)
\]
- **d.**
\[
V_C(t) = 10 \cos(2\pi \times 10^6 t), \quad I_L(t) = -10 \sin(2\pi \times 10^6 t)
\]
---
**Instructions:**
Select the correct pair of mathematical functions that represent the voltage across the capacitor and the current through either the inductor or the capacitor in this circuit configuration.
Expert Solution
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 6 steps with 10 images
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,