t=t. R2 t = 0 Vin= 10 V (DC) + R1= 10 N Vin R1 R2= 10 N C = 100 µF t1 = 1 ms The switch has been closed for a long time. At t = 0 the switch opens, and at t = t; the switch is closed again. Please answer the following questions. (1) Derive the mathematical expression for ve(t) for 0 <1<1. (2) Calculate the capacitor voltage ve(t) at t = t1. (3) Derive the mathematical expression for ve(t) for t > t1. (4) Sketch the waveform of v-(t) for 0sIS 2 ms. (5) Calculate the time instants when the capacitor voltage ve(t) is equal to 8 V.
t=t. R2 t = 0 Vin= 10 V (DC) + R1= 10 N Vin R1 R2= 10 N C = 100 µF t1 = 1 ms The switch has been closed for a long time. At t = 0 the switch opens, and at t = t; the switch is closed again. Please answer the following questions. (1) Derive the mathematical expression for ve(t) for 0 <1<1. (2) Calculate the capacitor voltage ve(t) at t = t1. (3) Derive the mathematical expression for ve(t) for t > t1. (4) Sketch the waveform of v-(t) for 0sIS 2 ms. (5) Calculate the time instants when the capacitor voltage ve(t) is equal to 8 V.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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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