respSin

respSin - RC Circuit response to Sinusoidal Input u H t L =...

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Unformatted text preview: RC Circuit response to Sinusoidal Input u H t L = A Sin @ 2 ft + D v H t L = e- kt v H L + A t e- k H t- s L Sin @ 2 f s + D s 4 Sin @ 20 t + 4 D , 8 t, 0, 5 < 1 2 3 4 5- 4- 2 2 4 A t e- k H t- s L Sin @ 2 f s + D s = A e- kt t e ks H Cos Sin 2 fs + Sin Cos2 fs L s = A e- kt B Cos t e ks Sin 2 fsds + Sin t e ks Cos2 fs ds F e ks Sin 2 fs = e ks Im e i2 fs = Im e k + 2 is H k is real ! L t e ks Sin 2 fsds = t e ks Im e i2 fs ds = Im t e ks + 2 ifs ds t e ks Cos2 fs s = Re t e ks + 2 ifs s = Im t e H k + 2 if L s s = Im e H k + 2 if L t- 1 k + 2 if e H k + 2 if L t- 1 k + 2 if = e H k + 2 if L t- 1 k + 2 if k- 2 if k- 2 if = I e H k + 2 if L t- 1 M k 2 + 4 2 f 2 H k- 2 if L since H k- 2 if L H k + 2 if L = k 2- H 2 if L 2 = k 2 + 4 2 f 2 = A k I e H k + 2 if L t- 1 M- 2 i f I e H k + 2 if L t- 1 ME I k 2 + 4 2 f 2 M 1 k 2 + 4 2 f 2 I k e kt H Cos2 ft +...
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This note was uploaded on 10/15/2009 for the course EE 103 taught by Professor Vandenberghe,lieven during the Spring '08 term at UCLA.

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respSin - RC Circuit response to Sinusoidal Input u H t L =...

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