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## Homework Statement

A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:

a) the total circuit impedance (Zt)

b) the total circuit current (IS)

c) the voltage drop across each component (VR, VL and VC)

d) the phase angle between VS and It.

e) Draw the phasor diagram of voltages and current for the circuit.

f) What is the frequency of the ac source for maximum current to flow?

g) What is the quality factor, Q, of the circuit at the frequency calculated in part f)?

## Homework Equations

in attachment

## The Attempt at a Solution

attachment

a) I think is right.

b) Not sure about since i dont have vmax do I??

c) really doubt is right but I cant think of another way to do it

d) tan(phi)=X_L-X_C/R which I got -7.9 degrees????

e) I'm trying to understand the phasor analysis paragraph in the text and all I know is that I will need V

_{R,max},[tex]\epsilon[/tex]

_{max}and V

_{C,max}all of which I should be able to calculate when I know if my I from b) is right.. even when I have that Im still not sure how to draw it???

f) and g) I am really stumped on....

Thanks for any and all help.

the d) I have in the pic is for another question-sorry I cant see how to remove that attachment.