Electrical oscillations are initiated in a series circuit containing a capacitance C, inductance L, and resistance R.(adsbygoogle = window.adsbygoogle || []).push({});

a) If R << sqrt((4L)/C) (weak damping), how much time elapses before the amplitude of the current oscillation falls off to 50.9% of its initial value?

b) How long does it take the energy to decrease to 50.9% of its initial value?

For part A, since I = I(max) * sin(wt), I put I(max)*.509 = I(max) * sin(wt).

I(max) cancels out and you are left with .509 = sin(wt). I let w = 1/sqrt(LC). Next, I solved for t and came up with t = sqrt(LC)*arcsin(.509). It says the answer is wrong though. Any help would be great! thx!!! :)

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# Homework Help: Need help with RLC circuit

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