• . ● ● 6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. a. Replace the original inductors with an equivalent inductor and find i(t) fort > 0. b. Find i₁(t) for t≥ 0. c. Find i₂ for t≥0. d. How much energy is delivered to the black box in the time interval 0 < t < ∞o? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors?

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
Related questions
Question

please answer d to g

i(t) 10 H ₂(t) 30 H
t = 0
+
v
Black
box
Answer (a)it = -12e-20t A, (b) i₁(t) = -9e-20t+13A, (c) i₂(t) = -3e-20t 13A, (d) w = 540J,
(e) = w = 3920J, (f) Wtrapped = 3380), (g) Wtrapped = 3380J agree
-
Transcribed Image Text:i(t) 10 H ₂(t) 30 H t = 0 + v Black box Answer (a)it = -12e-20t A, (b) i₁(t) = -9e-20t+13A, (c) i₂(t) = -3e-20t 13A, (d) w = 540J, (e) = w = 3920J, (f) Wtrapped = 3380), (g) Wtrapped = 3380J agree -
6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black
box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also
known that i₁(0) = 4A and i₂(0) = -16A.
●
a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0.
. b. Find i₁ (t) for t≥ 0.
c. Find 1₂ for t≥ 0.
●
. d. How much energy is delivered to the black box in the time interval 0 ≤ t < ∞o?
e. How much energy was initially stored in the parallel inductors?
f. How much energy is trapped in the ideal inductors?
g. Show that your solutions for i₁ and iz agree with the answer obtained in (f).
Transcribed Image Text:6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. ● a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0. . b. Find i₁ (t) for t≥ 0. c. Find 1₂ for t≥ 0. ● . d. How much energy is delivered to the black box in the time interval 0 ≤ t < ∞o? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors? g. Show that your solutions for i₁ and iz agree with the answer obtained in (f).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Inductor
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,