Vs L C R The switch is closed at t = 0. a) Derive a differential equation in the voltage across the cap for t≥ 0, with the source V. b) Find the resistance R such that when the switch is closed t the voltage across the capacitor oscillates at a frequency w 250 TT.

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V₂
L
C
M
R
C = 1 µF; L = 1 H. V₂
= : 10 V
The switch is closed at t = 0.
a)
Derive a differential equation in the voltage across the capaci
for t≥ 0, with the source Vs.
b)
Find the resistance R such that when the switch is closed the
the voltage across the capacitor oscillates at a frequency w =
250 TT.
Transcribed Image Text:V₂ L C M R C = 1 µF; L = 1 H. V₂ = : 10 V The switch is closed at t = 0. a) Derive a differential equation in the voltage across the capaci for t≥ 0, with the source Vs. b) Find the resistance R such that when the switch is closed the the voltage across the capacitor oscillates at a frequency w = 250 TT.
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