Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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t=ti-
R2
t = 0 6
Vin= 10 V (DC)
+
R1= 10 N
R2= 10 2
!!
Vin
R1
C
C = 100 µF
t1 =1 ms
The switch has been closed for a long time. At f = 0 the switch opens, and at t = tj the switch is
closed again.
Please answer the following questions.
(1) Derive the mathematical expression for ve(t) for 0<t<t1.
(2) Calculate the capacitor voltage vc(t) at t = ti.
(3) Derive the mathematical expression for ve(t) for t >tj.
(4) Sketch the waveform of ve(t) for 0 <t<2 ms.
(5) Calculate the time instants when the capacitor voltage ve(t) is equal to 8 V.
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Transcribed Image Text:t=ti- R2 t = 0 6 Vin= 10 V (DC) + R1= 10 N R2= 10 2 !! Vin R1 C C = 100 µF t1 =1 ms The switch has been closed for a long time. At f = 0 the switch opens, and at t = tj the switch is closed again. Please answer the following questions. (1) Derive the mathematical expression for ve(t) for 0<t<t1. (2) Calculate the capacitor voltage vc(t) at t = ti. (3) Derive the mathematical expression for ve(t) for t >tj. (4) Sketch the waveform of ve(t) for 0 <t<2 ms. (5) Calculate the time instants when the capacitor voltage ve(t) is equal to 8 V.
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