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

Since there is no resistance in the circuit the energyalternates between stored in the capacitor and stored in the inductor. 1/2 C V2 = 1/2 L i2   where these are the maximum values of the energy stored in eachelement Then i(max) = V (C /L)       to get the max current Resonance occurs at = (1 / (L C)) The period of the oscillation T = 1 / f = 2 / Since the voltage leads the current in an inductor by 90 degand the current leads the voltage by 90 degrees in a capacitor the two are 180 degrees out of phase The time between voltage peaks in the capacitor and inductoris T / 2 = /

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