i am having trouble figuring out the voltage drops across individual components in a resonant circuit... the question is posted below. i have correctly computed the total current through the circuit, and i can correctly compute the resonant frequency.
here is what i have, i'll walk through my method for one of the AC frequencies in the table:
first i simplify based on the constants for all f 
Xl = (2 pi f L) = 2.073f
Xc = 1/(2 pi f C) = 15915/f
then work it out for the individual frequencies 
@50 Hz:
Xl = 103.65@90deg
Xc = 318.3@90deg
Z = 214.65@90deg. + 5@0deg. [5ohm resistor] = 214.708
I = E/Z = 250/214.708 = 1.16A
resonant freq:
f = sqrt(1/(2 pi L C)) = sqrt(7675.8) = 87.61Hz
but, i'm not sure where that puts me since according to the answers the voltages dropped do not seem to add up to 250. i guess that makes sense, since it's a resonant circuit, but given that i don't know how to calculate the drops across individual components. the answers show VERY small voltage drops across the inductor and capacitor. anybody know how to calculate this?
thanks a ton!
here is what i have, i'll walk through my method for one of the AC frequencies in the table:
first i simplify based on the constants for all f 
Xl = (2 pi f L) = 2.073f
Xc = 1/(2 pi f C) = 15915/f
then work it out for the individual frequencies 
@50 Hz:
Xl = 103.65@90deg
Xc = 318.3@90deg
Z = 214.65@90deg. + 5@0deg. [5ohm resistor] = 214.708
I = E/Z = 250/214.708 = 1.16A
resonant freq:
f = sqrt(1/(2 pi L C)) = sqrt(7675.8) = 87.61Hz
but, i'm not sure where that puts me since according to the answers the voltages dropped do not seem to add up to 250. i guess that makes sense, since it's a resonant circuit, but given that i don't know how to calculate the drops across individual components. the answers show VERY small voltage drops across the inductor and capacitor. anybody know how to calculate this?
thanks a ton!
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