a resistor with resistance 2 ohms, a capacitor with the capacitance

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...
icon
Concept explainers
Question

Please do not use calculator.

 

An electrical circuit contains in series a resistor with resistance 2 ohms, a capacitor with the capacitance 4 farads, and a voltage source with voltage 6
volts. Let Q be the charge in the capacitor, and I be the current in the circuit at time t. At time t = 0 seconds, there is a charge of 8 coulombs in the
capacitor.
do = 3 - .
(a) Show that dt
8
ME
(b) Solve the differential equation to determine Q in terms of t.
(c) State the initial current in the circuit.
(d) State the value Q approaches as t → ∞.
RESULTA
Transcribed Image Text:An electrical circuit contains in series a resistor with resistance 2 ohms, a capacitor with the capacitance 4 farads, and a voltage source with voltage 6 volts. Let Q be the charge in the capacitor, and I be the current in the circuit at time t. At time t = 0 seconds, there is a charge of 8 coulombs in the capacitor. do = 3 - . (a) Show that dt 8 ME (b) Solve the differential equation to determine Q in terms of t. (c) State the initial current in the circuit. (d) State the value Q approaches as t → ∞. RESULTA
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Measuring instrument
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)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,