Direct Current and Transient Analysis
193
The script fi le RC_IC is executed, and the results and plots are shown as follows
(Figures 2.93 and 2.94):
>> RC _ IC
******************************************
********** R E S U L T S ****************
******************************************
The voltage across C, vc(t) for t >0 is:
vct =
20-10*exp(-1/2*t)
The voltage across R=2 ohms is :
vrt =
10*exp(-1/2*t)
The current i(t) is :
it =
5*exp(-1/2*t)
********Verify solution******************
verify = 2*diff(vct,t)+vct
verify =
20
******************************************
FIGURE 2.93
Plots of symbolic transient solutions of Example 2.27.
2
1.8
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
12
10
14
16
plots of: [vc(t), vr(t), and i(t)] versus t
2
1.8
1.6
1.4
1.2
1
t
t
0.8
0.6
0.4
0.2
0
6
4
8
10
2
1.8
1.6
1.4
1.2
1
time in sec
0.8
0.6
0.4
0.2
0
3
2
4
5
vr(t) in volts
vc(t) in volts
it(t) in amps
CRC_47760_CH002.indd 193
CRC_47760_CH002.indd 193
7/23/2008 1:38:58 PM
7/23/2008 1:38:58 PM