For the circuit shown in figureure, find the instaneous current throug

1.	For the circuit shown in figureure, find the instaneous current through each element. .
Answer» The three current equations are, `V=I_(R)R, V=L(dI)_(L))/(dt)` and `(dV)/(dt) = 1/CI_(C)`.............(i) The steady state solutions of Eq. (i) are, `I_(R) = V_(0)/Rsinomegat-=(I_(0))_(R)sinomegat` `I_(L) = -V_(0)/(omegaL) cosomegat=V_(0)/X_(L)cosomegat-=-(I_(0))_(L)cosomegat` and `I_(C)=V_(0)omegaCcosomegat =V_(0)/X_(C) cosomegat-=(I_(0))_(C) cosomegat`............(ii) where, the reactance `X_(L)` and `X_(C)` are as defined.

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For the circuit shown in figureure, find the instaneous current through each element. .

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