Homework Help is Here – Start Your Trial Now!
Math
Calculus
The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives RI + E(t). C dQ But I = (see this example), so we have dt R- dt + 1½ 10 = E(t). Suppose the resistance is 52, the capacitance is 0.05 F, a battery gives a constant voltage of 80 V, and the initial charge is Q = 0 C. (E C Find the charge Q (in C) at time t. Q(t) = с Find the current I (in A) at time t. I(t): = 4-4e-4t A ×

The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives RI + E(t). C dQ But I = (see this example), so we have dt R- dt + 1½ 10 = E(t). Suppose the resistance is 52, the capacitance is 0.05 F, a battery gives a constant voltage of 80 V, and the initial charge is Q = 0 C. (E C Find the charge Q (in C) at time t. Q(t) = с Find the current I (in A) at time t. I(t): = 4-4e-4t A ×

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
100%
The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives RI + E(t). C dQ But I = (see this example), so we have dt R- dt + 1½ 10 = E(t). Suppose the resistance is 52, the capacitance is 0.05 F, a battery gives a constant voltage of 80 V, and the initial charge is Q = 0 C. (E C Find the charge Q (in C) at time t. Q(t) = с Find the current I (in A) at time t. I(t): = 4-4e-4t A ×
Transcribed Image Text:The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives RI + E(t). C dQ But I = (see this example), so we have dt R- dt + 1½ 10 = E(t). Suppose the resistance is 52, the capacitance is 0.05 F, a battery gives a constant voltage of 80 V, and the initial charge is Q = 0 C. (E C Find the charge Q (in C) at time t. Q(t) = с Find the current I (in A) at time t. I(t): = 4-4e-4t A ×
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS