4. The switch in the circuit shown has been in position a for a long time. At t = 0, it moves to position b. Find the following: a. The damped form of the solution b. i(0*) c. Vc (0*) d. vc (0) di(0+) e. dt f. i(t) for t≥0 g. Ve(t) for t≥0 4. + Ο ΚΩ w 6 80 02 5 mH w 1 = 0 80 V : 15 ΚΩ + 100 V V.2 μF a. underdamped b. i(0+) = 0 A c. vc(0+) = 50 V d. v() = 100 V di(0+) e. = 10,000 A/s dt f. i(t) = 1.67e8000 sin (6000t)] A g. vc(t) = 100e-8000 [50 cos(6000t) + 66.67sin (6000t)] V

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4. The switch in the circuit shown has been in position a for a long time. At t = 0, it moves to
position b. Find the following:
a. The damped form of the solution
b. i(0*)
c. Vc (0*)
d. vc (0)
di(0+)
e.
dt
f. i(t) for t≥0
g. Ve(t) for t≥0
4.
+
Ο ΚΩ
w
6 80 02
5 mH
w
1 = 0
80 V
: 15 ΚΩ
+
100 V
V.2 μF
a. underdamped
b. i(0+) = 0 A
c. vc(0+) = 50 V
d. v() = 100 V
di(0+)
e.
= 10,000 A/s
dt
f. i(t) = 1.67e8000 sin (6000t)] A
g.
vc(t) = 100e-8000 [50 cos(6000t) + 66.67sin (6000t)] V
Transcribed Image Text:4. The switch in the circuit shown has been in position a for a long time. At t = 0, it moves to position b. Find the following: a. The damped form of the solution b. i(0*) c. Vc (0*) d. vc (0) di(0+) e. dt f. i(t) for t≥0 g. Ve(t) for t≥0 4. + Ο ΚΩ w 6 80 02 5 mH w 1 = 0 80 V : 15 ΚΩ + 100 V V.2 μF a. underdamped b. i(0+) = 0 A c. vc(0+) = 50 V d. v() = 100 V di(0+) e. = 10,000 A/s dt f. i(t) = 1.67e8000 sin (6000t)] A g. vc(t) = 100e-8000 [50 cos(6000t) + 66.67sin (6000t)] V
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