A 3 H inductor is connected to a voltage source, vs(t). Find the current /1 at t₁ = 0.2 sec and 12 at t2 = 4.2 sec in unit A in the circuit below for the given vs(t).
A 3 H inductor is connected to a voltage source, vs(t). Find the current /1 at t₁ = 0.2 sec and 12 at t2 = 4.2 sec in unit A in the circuit below for the given vs(t).
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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![A 3 H inductor is connected to a voltage source, vs(t). Find the current /1 at t1 = 0.2 sec and /2 at t2 = 4.2 sec in unit A in the circuit
below for the given vs(t).
Ds (1) (V) A
Vs (1)
/1 at t₁ = 0.2 sec =
12 at t2 = 4.2 sec =
L
i(1)
[A]
][A]
0.2
3
i, (0.2) = √ {
+
44.2
5
t(s)
.0.2
>= { [²^²4 + 3 [(0--1)(12) + (0.2-0)(²-1)
=
vs (t) dt
= 0.600A
4.2
I
₁ ( 4.2 ) = 3 ] _v₁(+)dt = $ [(0--1)(2)+(1-0) (1) + (3-1)(0)+(4.2-3)(1)]
= 0.733A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5345d176-ce4e-4c4c-b740-d363a4dd1733%2F5bbaaa48-ee14-4b11-a087-d52a086500fd%2F1uf1xwg_processed.png&w=3840&q=75)
Transcribed Image Text:A 3 H inductor is connected to a voltage source, vs(t). Find the current /1 at t1 = 0.2 sec and /2 at t2 = 4.2 sec in unit A in the circuit
below for the given vs(t).
Ds (1) (V) A
Vs (1)
/1 at t₁ = 0.2 sec =
12 at t2 = 4.2 sec =
L
i(1)
[A]
][A]
0.2
3
i, (0.2) = √ {
+
44.2
5
t(s)
.0.2
>= { [²^²4 + 3 [(0--1)(12) + (0.2-0)(²-1)
=
vs (t) dt
= 0.600A
4.2
I
₁ ( 4.2 ) = 3 ] _v₁(+)dt = $ [(0--1)(2)+(1-0) (1) + (3-1)(0)+(4.2-3)(1)]
= 0.733A
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