A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in (Figure 1). The initial conditions are i(0+) = 0 and vc(0+) = 0. Figure < 1 of 1 > ▼ Part A Choose the correct expression for the differential equation for vc(t). ► View Available Hint(s) O O O d²vc dt² d²vc dt² dªvc de² d²vc dt² d²vc dt² Submit + Part B + d²vc L duc + dt² R de vc(t) = + duc + vc = Us £ 1 LC dt -vc= /vs 1 duc LC dt - L duc R de + cvc= R duc +1 de + LCºC = LC - VC = Vs L R dve I dt + Lcvc=tc Previous Answers ✓ Correct Here we learn how to write the differential equation for the voltage. Solve for vo(t) given that R= 20 2. Express your answer in terms of t. Assume t is in milliseconds. ▸ View Available Hint(s) |||A£¢||||↑ vec ΑΣΦΗ ?

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A dc source is connected to a series RLC circuit by a switch that closes at t =
0, as shown in (Figure 1). The initial conditions are i(0+) = 0 and vc(0+) = 0.
Figure
ix
1=0
L
R
< 1 of 1 >
Part A
Choose the correct expression for the differential equation for vc(t).
► View Available Hint(s)
O
d²vc
dt²
d²vc
dt²
d²vc
dt²
d²vc
dt²
d²vc
dt²
d²vc
Submit
Part B
+
vc(t) =
+
Submit
1 duc
LC dt
+
1 duc - 1vc = 1/Us
LC dt
L duc
R dt
R duc
+ I dt
L
L duc
R dt
R
· + 1 vc = V₁
R duc
L dt
+
Lovc=
LC
Lovc=LC
+
+
UC = Us
Us
LC
Previous Answers
✓ Correct
Here we learn how to write the differential equation for the voltage.
Us
Lºc=IC
Solve for vo(t) given that R= 20 2.
Express your answer in terms of t. Assume t is in milliseconds.
► View Available Hint(s)
[75] ΑΣΦ | 11 | vec
6
www.
?
Transcribed Image Text:A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in (Figure 1). The initial conditions are i(0+) = 0 and vc(0+) = 0. Figure ix 1=0 L R < 1 of 1 > Part A Choose the correct expression for the differential equation for vc(t). ► View Available Hint(s) O d²vc dt² d²vc dt² d²vc dt² d²vc dt² d²vc dt² d²vc Submit Part B + vc(t) = + Submit 1 duc LC dt + 1 duc - 1vc = 1/Us LC dt L duc R dt R duc + I dt L L duc R dt R · + 1 vc = V₁ R duc L dt + Lovc= LC Lovc=LC + + UC = Us Us LC Previous Answers ✓ Correct Here we learn how to write the differential equation for the voltage. Us Lºc=IC Solve for vo(t) given that R= 20 2. Express your answer in terms of t. Assume t is in milliseconds. ► View Available Hint(s) [75] ΑΣΦ | 11 | vec 6 www. ?
Figure
P₁ = 50 V
1=0
X
i(t)
oooo
2mH
R
C
5 μF
¡(0)= 0 vc(0)=0
vc(1)
<
1 of
Transcribed Image Text:Figure P₁ = 50 V 1=0 X i(t) oooo 2mH R C 5 μF ¡(0)= 0 vc(0)=0 vc(1) < 1 of
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