AC Circuit Resonance Angular Frequency Calculation

AI Thread Summary
The discussion centers on calculating the resonance angular frequency in an L-R-C series circuit with given values for inductance (L = 0.270 H) and capacitance (C = 3.80 µF). The key equations involve the reactance of the capacitor (Xc = 1/(ωC)) and the inductor (XL = ωL), which are used to determine the conditions for resonance. The goal is to find the angular frequency (ω) where the impedance is minimized, effectively making the circuit resonate. Participants express confusion about incorporating voltage into the calculations, emphasizing the need to focus on the phase relationship between the inductor and capacitor. Understanding these principles is crucial for solving the problem effectively.
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Homework Statement



In an L-R-C series circuit, L = 0.270 H and C = 3.80 µF. The voltage amplitude of the source is 120 V.
(a) What is the resonance angular frequency of the circuit?



Homework Equations



Xc = 1/(wC)

XL = wL

w=angular frequency

The Attempt at a Solution



I couldn't get anywhere. I know that I have to do something with the voltage, but I have no clue
 
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Well you want the magnitude of the impedance to go to 0. And since they are both 180 degrees out of phase with each other and in series, you treat them like vectors and subtract them. Then solve for \omega.
 

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