The two parallel inductors in the figure below are connected across the terminals of a black box at t = 0. The resulting voltage v for t> 0 is known to be 12e-V. It is also known that ₁ (0) = 2A and i2(0) = 4A. i1(t) L1 3 H i2(t) L2 6 H i(t) t=0 Black Box (a) Replace the original inductors with an euivalent inductor and find i(t) for t≥ 0. (b) Find i₁(t) for t≥ 0. (c) Find i₂(t) for t ≥ 0.

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
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Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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The two parallel inductors in the figure below are connected across the terminals of a black
box at t = 0. The resulting voltage v for t > 0 is known to be 12e-V. It is also known that
i₁(0) = 2A and i2(0) = 4A.
-
i1(t)
L1
3 H
i2(t)
L2
6 H
i(t)
t=0
Black
Box
(a) Replace the original inductors with an euivalent inductor and find i(t) for t≥ 0.
(b) Find i₁(t) for t≥ 0.
(c) Find i2(t) for t≥ 0.
(d) How much energy is delivered to the black box in the time interval 0 ≤ t ≤∞.
(e) How much energy was initially stored in the the parallel inducutors?
(f) How much energy is trapped in the ideal inductors?
(g) Show that your solutions for i₁(t) and i2(t) agree with your answer in (f).
Transcribed Image Text:The two parallel inductors in the figure below are connected across the terminals of a black box at t = 0. The resulting voltage v for t > 0 is known to be 12e-V. It is also known that i₁(0) = 2A and i2(0) = 4A. - i1(t) L1 3 H i2(t) L2 6 H i(t) t=0 Black Box (a) Replace the original inductors with an euivalent inductor and find i(t) for t≥ 0. (b) Find i₁(t) for t≥ 0. (c) Find i2(t) for t≥ 0. (d) How much energy is delivered to the black box in the time interval 0 ≤ t ≤∞. (e) How much energy was initially stored in the the parallel inducutors? (f) How much energy is trapped in the ideal inductors? (g) Show that your solutions for i₁(t) and i2(t) agree with your answer in (f).
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