An LC circuit includes a 0.010 µF capacitor anda 400 µH inductor. (a) If the pea

Question

An LC circuit includes a 0.010 µF capacitor anda 400 µH inductor.
(a) If the peak voltage on the capacitor is 190 V, what is thepeak current in the inductor? Answer = __________ A (b) How long after the voltage peak does the current peakoccur?
Answer = __________ µs
An LC circuit includes a 0.010 µF capacitor anda 400 µH inductor.
(a) If the peak voltage on the capacitor is 190 V, what is thepeak current in the inductor? Answer = __________ A (b) How long after the voltage peak does the current peakoccur?
Answer = __________ µs

Explanation / Answer

   (1/2) CV2 =(1/2)LI2   
   I = V [ C / V ]1/2
   = 190 [ 0.01F /400H ]1/2   
   = 0.95A
The period is given as
   T = 2LC
   = 12.56x10-6 s
the votage leads the current by 90 and the maximum occurs at T/4
   = 12.56 x10-6 /4
   = 3.1415x10-6 s

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