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Question:
A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters:
[tex]R=500\Omega[/tex]
[tex]L=0.5mH[/tex]
[tex]C=20\muF[/tex]
Find the resonant frequency, the [itex]Q[/itex], the average power dissipated at resonant frequency, the [itex]BW[/itex], and the average power dissipated at the half-power frequencies.
Answer:
[itex]Q[/itex], [itex]\omega_0[/itex], and [itex]BW[/itex] are all straightfoward calculations.
[tex]Q = 100 [/itex]<br /> [tex]BW = 100 \frac{rad}{sec}[/tex]<br /> [tex]\omega_0 = 10000\frac{rad}{sec}[/tex]<br /> <br /> The half power frequencies are:<br /> [tex]\omega_{hi} = 1005.01[/tex]<br /> [tex]\omega_{lo} = 995.01 [/itex]<br /> <br /> I don'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 <img src="https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/oldschool/redface.gif" class="smilie" loading="lazy" alt=":redface:" title="Red Face :redface:" data-shortname=":redface:" />[/tex][/tex]
A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters:
[tex]R=500\Omega[/tex]
[tex]L=0.5mH[/tex]
[tex]C=20\muF[/tex]
Find the resonant frequency, the [itex]Q[/itex], the average power dissipated at resonant frequency, the [itex]BW[/itex], and the average power dissipated at the half-power frequencies.
Answer:
[itex]Q[/itex], [itex]\omega_0[/itex], and [itex]BW[/itex] are all straightfoward calculations.
[tex]Q = 100 [/itex]<br /> [tex]BW = 100 \frac{rad}{sec}[/tex]<br /> [tex]\omega_0 = 10000\frac{rad}{sec}[/tex]<br /> <br /> The half power frequencies are:<br /> [tex]\omega_{hi} = 1005.01[/tex]<br /> [tex]\omega_{lo} = 995.01 [/itex]<br /> <br /> I don'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 <img src="https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/oldschool/redface.gif" class="smilie" loading="lazy" alt=":redface:" title="Red Face :redface:" data-shortname=":redface:" />[/tex][/tex]
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