governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 = 64 X 106 = ( a 1.25 x 104 rad/s, %3D 2RC (400)(0.2) As wó remains at 10 1 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and vt) for t>0.

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Author:Robert L. Boylestad
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governs the transient behavior of the voltage
shown in Fig. 8.5 if R = 200 N, L = 50 mH, and
C = 0.2 µF.
C Vo
b) Will the response be overdamped, underdamped,
or critically damped?
c) Repeat (a) and (b) for R = 312.5 N.
D What value of R causes the response to be criti-
cally damped?
b) The voltage response
wi < a?.
c) For R = 312.5 N,
Solution
106
a) For the given values of R, L, and C
a =
(625)(0.2)
1
106
a = 64 x 106 = (
1.25 x 104 rad/s,
a
2RC
(400)(0.2)
As wó remains at 101
1
(10*)(10º)
10 rad²/s².
S1 = -8000
LC
(50)(0.2)
S2 = -8000
%3D
From Eqs. 8.14 and 8.15.
d) For critical damping
How did he get the value
RC
1
2R
inside the red circle
10
x 10
Given the circuit in Fig. 8.95, find (t) and v(t) for t>0.
1 H
Transcribed Image Text:governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 a = 64 x 106 = ( 1.25 x 104 rad/s, a 2RC (400)(0.2) As wó remains at 101 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and v(t) for t>0. 1 H
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