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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 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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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
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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