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January 27, 2015

January 27, 2015

Posted by **fatih** on Monday, March 12, 2012 at 12:15pm.

- physics -
**Damon**, Monday, March 12, 2012 at 1:25pmassume you mean r = 51 k Ohm

i = 1 sin 108 pi t

Vr = i r = 51*10^3 sin 108 pi t

Vl = L di/dt = 25*10^-6 * 108pi cos 108 pi t

dVc/dt = (1/C) i

so

Vc = (19*10^-6)^-1 [-(1/108pi) cos 108 pi t

V = Vr + Vl + Vc

Vl + Vc = [.00848 - 155]cos 108 pi t

(I suspect you have some units wrong)

V = 51*10^3 sin 108 pi t - 155 cos 108 pi t

I am sure your input data is incorrect but now multiply i times V and integrate over a cycle and divide by the period (multiply by the frequency)

In fact only the sin*sin term will matter in the end because sin * cos averages to 0 and the average of sin^2 is 1/2

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