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I am trying to find the effective voltage across each element (R,L,C) of a series RLC circuit like the one below. I am given the following values: I

What I have done so far:

V

=> V

I

=> I

X

v(t) = √2*sin(2t)

i(t) = √2*sin(2t - 45°)

i know the formulas for the peak voltages for the individual elements are

V

V

V

i'm not sure if those correspond to the effective voltages or if i have to use the equation V

i am also having trouble finding R and X

_{eff}= 1 Amp, V_{eff}= 1 V, i(t) lags v(t) by 45°, L = 1, f = 2/2∏ Hz, L = 1 HWhat I have done so far:

V

_{eff}= V_{m}/√2=> V

_{m}= √2I

_{eff}= I_{m}/√2=> I

_{m}= √2X

_{L}= ωL = 2v(t) = √2*sin(2t)

i(t) = √2*sin(2t - 45°)

i know the formulas for the peak voltages for the individual elements are

V

_{R}= I_{m}*RV

_{L}= I_{m}*X_{L}V

_{C}= I_{m}*X_{C}i'm not sure if those correspond to the effective voltages or if i have to use the equation V

_{eff}= V_{m}/√2i am also having trouble finding R and X

_{C}from the information provided..
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