Engineering Find Resonant Freq, Q, Power Diss pwr Half Pwr Freq in RLC Circuit

AI Thread Summary
The discussion revolves around calculating key parameters of a parallel RLC circuit with given values for resistance, inductance, and capacitance. The resonant frequency, quality factor (Q), and bandwidth (BW) were calculated as Q = 100, BW = 100 rad/sec, and ω₀ = 10,000 rad/sec. The half-power frequencies were determined to be ωₕ = 1005.01 rad/sec and ωₗ = 995.01 rad/sec. A participant initially sought help with calculating average power dissipation at resonant and half-power frequencies but later realized the calculations were straightforward. The discussion highlights the importance of understanding resonant circuits and their parameters in electrical engineering.
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Question:
A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters:
R=500\Omega
L=0.5mH
C=20\muF

Find the resonant frequency, the Q, the average power dissipated at resonant frequency, the BW, and the average power dissipated at the half-power frequencies.

Answer:
Q, \omega_0, and BW are all straightfoward calculations.

Q = 100 [/itex]<br /> BW = 100 \frac{rad}{sec}<br /> \omega_0 = 10000\frac{rad}{sec}<br /> <br /> The half power frequencies are:<br /> \omega_{hi} = 1005.01<br /> \omega_{lo} = 995.01 [/itex]&lt;br /&gt; &lt;br /&gt; I don&amp;#039;t understand how to calculate the average power dissapated at resonant frequency, OR at the half power frequencies. If someone could give me a push in the right direction, that would be swell &lt;img src=&quot;https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/oldschool/redface.gif&quot; class=&quot;smilie&quot; loading=&quot;lazy&quot; alt=&quot;:redface:&quot; title=&quot;Red Face :redface:&quot; data-shortname=&quot;:redface:&quot; /&gt;
 
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:smile: nm, figured it out. That was embarrassingly easy.
 
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