Homework Help is Here – Start Your Trial Now!
Science
Physics
CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for a long time before it is switched to position (a) at t = 0. In position (a) Kirchoff's loop rule results in a different differential equation for the current I(t). dl(t) 8-1(t)r-L- = 0 dt The solution to this differential equation is 1(t) = (1-e-t/tc), Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r. 00 4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a). a. Determine the time constant of the circuit. Comment: the way to do this is to note that when t= the current is i (1-e-¹) = 0.63 1... b. The inductance is 1.2 H. What is the resistance r? Current (mA) 00000 0.5 6 3 10 12 14 time (ms) c. What is the EMF &? Hint: use the fact that the inductor will act like a wire at very long times. d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.

CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for a long time before it is switched to position (a) at t = 0. In position (a) Kirchoff's loop rule results in a different differential equation for the current I(t). dl(t) 8-1(t)r-L- = 0 dt The solution to this differential equation is 1(t) = (1-e-t/tc), Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r. 00 4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a). a. Determine the time constant of the circuit. Comment: the way to do this is to note that when t= the current is i (1-e-¹) = 0.63 1... b. The inductance is 1.2 H. What is the resistance r? Current (mA) 00000 0.5 6 3 10 12 14 time (ms) c. What is the EMF &? Hint: use the fact that the inductor will act like a wire at very long times. d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

ASAP please

CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for a long time before it is switched to position (a) at t = 0. In position (a) Kirchoff's loop rule results in a different differential equation for the current ¡(t). di(t) E-I(t)r-L = 0 dt The solution to this differential equation is I(t) = 1 (1-e-t/t), a. Determine the time constant of the circuit. Comment: the way to do this is to note that when t = ₂, the current is i I(1-e-¹) = 0.63 .... Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r. 4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a). b. The inductance is 1.2 H. What is the resistance r? Current (mA) 2 0.5 00000 4 R 6 3 10 12 14 time (ms) c. What is the EMF 8? Hint: use the fact that the inductor will act like a wire at very long times. d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.
Transcribed Image Text:CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for a long time before it is switched to position (a) at t = 0. In position (a) Kirchoff's loop rule results in a different differential equation for the current ¡(t). di(t) E-I(t)r-L = 0 dt The solution to this differential equation is I(t) = 1 (1-e-t/t), a. Determine the time constant of the circuit. Comment: the way to do this is to note that when t = ₂, the current is i I(1-e-¹) = 0.63 .... Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r. 4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a). b. The inductance is 1.2 H. What is the resistance r? Current (mA) 2 0.5 00000 4 R 6 3 10 12 14 time (ms) c. What is the EMF 8? Hint: use the fact that the inductor will act like a wire at very long times. d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS