O An electric circuit contains an electromotive force E of 150 cos 201 volts, a resistance R of 20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the time (in seconds). The differential equation satisfied by the charge Q for the circuit is d?Q dQ L + R + dt2 dt 1 E(t) Find the charge, Q at the time t. Note: Apply the method of solving second order differential equation learnt in the unit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
1) An electric circuit contains an electromotive force E of 150 cos 20/ volts, a resistance R of
20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the
time (in seconds). The differential equation satisfied by the charge Q for the circuit is
dQ 1
+R-
dt2
d?Q
L-
+Q = E(t)
dt
Find the charge, Q at the time t.
Note: Apply the method of solving second order differential equation learnt in the unit.
Transcribed Image Text:1) An electric circuit contains an electromotive force E of 150 cos 20/ volts, a resistance R of 20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the time (in seconds). The differential equation satisfied by the charge Q for the circuit is dQ 1 +R- dt2 d?Q L- +Q = E(t) dt Find the charge, Q at the time t. Note: Apply the method of solving second order differential equation learnt in the unit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning