t = 0 Black i(03H i06H box
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter23: Resistive-inductive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ
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Question
The two parallel inductors shown are connected across the terminals of a black box at t=0. The resulting voltage v for t>0 is known to be 12e−t V. It is also known that i1(0)=2 A and i2(0)=4 A.
a. Replace the original inductors with an equivalent 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 parallel inductors?
f. How much energy is trapped in the ideal inductors?
g. Show that your solutions for i1 and i2 agree with the answer obtained in (f).
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