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capacitor voltage calculation

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david90

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Ic(t) = 10cos(1000t+pi/4) ,Vc(-0)=3 V, Cap = 1uf

Vc(t) = Vo + 1/C integralI(t) dt

ok so I took the integral of 10cos(1000t+pi/4) and got

1/100 sin (1000t+pi/4)

then I times ^ by 1/C which is 1000000.

The final result is vc(t)= 3+ 1000sin (1000t+pi/4)

Is this right? 1000 v seems unreasonable.
 

I think it should be 10,000 instead of 1000.
And i think it(10,000) is not possible in practical case .
 

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