20 mF v(1) 4 Ω. 2.0 H 3i(1) 0 = g2 -v(t) + 12.5유V(t) + 25v(t). dt2 Vnlt) = Aje 250t + Aze`10.0t V. ine the value of the coefficients A1 and A2 when v(0) = 9 v and i(0) = 2.0 A:

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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*Example 9.4-1
X Your answer is incorrect. Try again.
(See Example 9.4-1 in the textbook for the solution to a similar problem.)
v(1)
4 Ω
2.0 H 3i(1)
20 mF
This circuit can be represented by the differential equation
dvit) + 12.5 vit) + 25v(t).
0 =
dt2
The natural response is
Vn(t) =
= A¿e°
-2.50t
+ Aze
-10.0t
V.
The coefficients A1 and A2 depend on the initial conditions, V(0) and i(0). Determine the value of the coefficients A1 and A2 when V(0) = 9 v and i(0) = 2.0 A:
A1
[16.33
and
A2
-7.33
Transcribed Image Text:*Example 9.4-1 X Your answer is incorrect. Try again. (See Example 9.4-1 in the textbook for the solution to a similar problem.) v(1) 4 Ω 2.0 H 3i(1) 20 mF This circuit can be represented by the differential equation dvit) + 12.5 vit) + 25v(t). 0 = dt2 The natural response is Vn(t) = = A¿e° -2.50t + Aze -10.0t V. The coefficients A1 and A2 depend on the initial conditions, V(0) and i(0). Determine the value of the coefficients A1 and A2 when V(0) = 9 v and i(0) = 2.0 A: A1 [16.33 and A2 -7.33
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