+ VL ell Vị Problem 2: Appearing to the right is again our famil- iar RLC series circuit, this time with a new voltage la- bel, v1. Also once again, for your solving convenience, is a solution for this circuit when the voltage source is + constant. Va C i1-part (t) = 0 R SKie4it + K2eª2t, (Kjeait + K2teªit, if a1 = a2. if a1 7 a2; i1-cor 1-comp(t) i1(t) = i1-comp(t)+i1-part (t) where R + 2L' V(2L R R a2 = – 1 R 1 a1 = – and LC 2L V(2L LC Find an expression for v1(t) assuming a1 # a2. There is no need to solve for K1 and K2 in this problem. Hint: Those of you who are still unsure of the difference between a voltage drop and a voltage with respect to ground: learn it now! In terms of R, L, C, va, K1, K2, a1, and a2 # a1 the voltage v1(t) + I

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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+ VL
ele
V1
Problem 2: Appearing to the right is again our famil-
iar RLC series circuit, this time with a new voltage la-
bel, v1. Also once again, for your solving convenience,
is a solution for this circuit when the voltage source is
+
constant.
Va
C=Vc
i1-
-part(t)
R
Kjeªit + K2ea2t,
if a1 7 a2;
i
1-comp(t)
Kjeªit + K2teªit, if a1 = a2.
i1(t) = i1-comp(t) + i1-part (t)
where
2
R
R
1
R
1
LC
and
a2
2L
2L
2L
LC
Find an expression for vi(t) assuming ai 7 a2. There is no need to solve for K1 and K2 in this
problem. Hint: Those of you who are still unsure of the difference between a voltage drop and a
voltage with respect to ground: learn it now!
In terms of R, L, C', va, K1, K2, a1, and a2 + a1 the voltage v1(t) =
+
Transcribed Image Text:+ VL ele V1 Problem 2: Appearing to the right is again our famil- iar RLC series circuit, this time with a new voltage la- bel, v1. Also once again, for your solving convenience, is a solution for this circuit when the voltage source is + constant. Va C=Vc i1- -part(t) R Kjeªit + K2ea2t, if a1 7 a2; i 1-comp(t) Kjeªit + K2teªit, if a1 = a2. i1(t) = i1-comp(t) + i1-part (t) where 2 R R 1 R 1 LC and a2 2L 2L 2L LC Find an expression for vi(t) assuming ai 7 a2. There is no need to solve for K1 and K2 in this problem. Hint: Those of you who are still unsure of the difference between a voltage drop and a voltage with respect to ground: learn it now! In terms of R, L, C', va, K1, K2, a1, and a2 + a1 the voltage v1(t) = +
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