*Example 14.7-1 (See Example 14.7-1 in the textbook for the solution to a similar problem.) 1 = 0 The input to this circuit the voltage source voltage, 24 V. The output is the voltage across the capacitor, given by the circuit has reached steady state before the switch 50 kQ closes at timet = 0. After the switch closes, the capacitor voltage is given by vo () | = 19.2 + (-9.6)e-2.083t V when t > 0 24 v (: 40 kQ 10 k2 After the switch closes, the circuit can be represented by the s domain circuit shown to the right. Determine the values of the constants A and B used to label the s domain circuit. 40 ka 1,(s) *and 10 k2 A%3D B = bis + bo s(s + 2.083) . Determine the values of the constants b, and bo. Vols) , the Laplace transform of the capacitor voltage after the switch closes, can be represented as Vols) = b = * and bo = Determine the value of C of the capacitance in uf. C-

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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*Example 14.7-1
(See Example 14.7-1 in the textbook for the solution to a similar problem.)
t = 0
The input to this circuit is the voltage source voltage, 24 V. The output is the voltage across the capacitor, given by the circuit has reached steady state before the switch
closes at time t = 0. After the switch closes, the capacitor voltage is given by
50 kN
vo (t)
= 19.2 + (-9.6)e-2.083 t
V when t > 0
24 V
40 k2.
C
10 k2
After the switch closes, the circuit can be represented by thes
domain circuit shown to the right.
Determine the values of the constants A and B used to label the s
domain circuit.
Cs
1,(s)
40 k2
V.(s)
10 k2
A =
and
В -
bis + bo
s(s + 2.083)
Vols) , the Laplace transform of the capacitor voltage after the switch closes, can be represented as Vols) =
. Determine the values of the constants b, and bo.
b, =
and bo =
Determine the value of C of the capacitance in µF.
C =
Transcribed Image Text:*Example 14.7-1 (See Example 14.7-1 in the textbook for the solution to a similar problem.) t = 0 The input to this circuit is the voltage source voltage, 24 V. The output is the voltage across the capacitor, given by the circuit has reached steady state before the switch closes at time t = 0. After the switch closes, the capacitor voltage is given by 50 kN vo (t) = 19.2 + (-9.6)e-2.083 t V when t > 0 24 V 40 k2. C 10 k2 After the switch closes, the circuit can be represented by thes domain circuit shown to the right. Determine the values of the constants A and B used to label the s domain circuit. Cs 1,(s) 40 k2 V.(s) 10 k2 A = and В - bis + bo s(s + 2.083) Vols) , the Laplace transform of the capacitor voltage after the switch closes, can be represented as Vols) = . Determine the values of the constants b, and bo. b, = and bo = Determine the value of C of the capacitance in µF. C =
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