The wave-shape of the output voltage will be same as in Fig. 11.3-7. The output in
this case will reach a maximum of 1/e 0.3678 V at t
τ
s.
i.e.,
C
C
vttt
ttt
vt
()()
()
!
()
!
()
!
()
→−+−++
⎡
⎣
⎢
⎤
⎦
⎥
∴
αα
ααα
1
234
234
===
⎛
⎝
⎜
⎞
⎠
⎟
≥
−
−
⎛
⎝
⎜
⎞
⎠
⎟
+
α
τ
α
τ
t
t
t
t
t
eeV for 0.
()()()
ασασαασασασσ
iiiiiii
i
−=−+++++
−−−−−123221
terms
∴→
−
−
→×→+
−
As and
C
ασ
ασ
ασ
αα
,
()
()
()()
ii
i
ivtt
1
1(()
!
−
×
⎡
⎣
⎢
⎤
⎦
⎥
−
=
∞
−
−
∑
1
1
2
1
1i
i
i
i
i
i
t
α
=
−
⎛
⎝
⎜
⎞
⎠
⎟
−−
−
+
−
−
−
+
⎡
α
ασ
ασ
ασασασ
()
()
!
()
!
()
!
...tttt
22
2
33
3
44
4
234
⎣⎣
⎢
⎤
⎦
⎥
=+−
−
−
⎡
⎣
⎢
⎤
⎦
⎥
−
=
∞
−
∑
()()
()
()!
α
ασ
ασ
t
i
t
i
i
ii
i
11
1
2
1
vtt
t
t
tt
C
ee for ()()
()
=
−
⎛
⎝
⎜
⎞
⎠
⎟
−≥
=
−
⎛
⎝
⎜
⎞
⎠
⎟
−+
−−+
α
ασ
α
ασ
σ
σ
σσ
0
1
2
2
!!
()
!
()
!
()
!
()
!
()
−++
⎛
⎝
⎜
⎞
⎠
⎟
⎡
⎣
⎢
⎢
−−+−+
σσ
α
ααα
tt
t
ttt
34
234
34 ...
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