December 2015
Intermediate to advanced
737 pages
23h 39m
English
Content preview from Network Analysis and Synthesis, 1st Edition by Pearson
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262 Network Analysis and Synthesis
Now, from equation (6.46), we have the following form:
ie
V
R
V
RC
CR
V
t
RC
=−
+
+
+
−
−
mm
m
sin
(/ )
sintanq
w
q
w
22
1
1
1
RRC
t
CR
22
1
1
1
+
++
−
()
sintan
/w
wq
w
Substituting all the given values, we obtain the equation as follows:
ie
t
=−
+
××
+
−××
−
−
/
sinsin tan
10 10 10
2
6
2
6
10
10
0
10
10
1
11010
0
°°
−−
−
−
×× ×
+
××
1
6
2
6
1
1101
01
0
10
10
1
11010
22
1
6
10
225
0
1
1101010
0
10
10 10
4
sintan
sin(t
t
e
t
++
×× ×
=−
+
−
−
−
°
aan )sin(tan )
−−
+
+
+
14
225
14
10
10
10 10
10t A
6.7 SINUSOIDAL RESPONSE OF R–L–C CIRCUITS
Let us consider a circuit R–L–C series circuit as shown in Figure 6.27.
At t = 0, the switch is closed, and sinusoidal
voltage
Vt ...
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