Parallel Resonant Circuit Frequency

In summary, the parallel resonant circuit frequency is the frequency at which a parallel resonant circuit has the highest impedance and experiences a resonance effect. It can be calculated using the formula f<sub>r</sub> = 1 / (2π√(LC)) and has a significant impact on a circuit's performance, including its bandwidth, resonance stability, and ability to filter out unwanted frequencies. The resonant frequency can be adjusted by changing the values of the inductance and capacitance components or by altering the voltage or current in the circuit.
  • #1
CoolDude420
201
9

Homework Statement


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Homework Equations

The Attempt at a Solution


I'm not exactly sure why my formula isn't working here.
The correct answer given to us is 2.25kHZ.
 
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  • #2
Is ωo a regular frequency (Hz) or an angular frequency (rad/sec)?
 
  • #3
gneill said:
Is ωo a regular frequency (Hz) or an angular frequency (rad/sec)?
Oops. Completely forgot about that. w is angular frequency but the question said units should be in Khz which is linear frequency. I just divided 14.14/2pi and I got the right answer of 2.25. thanks
 

1. What is a parallel resonant circuit frequency?

A parallel resonant circuit frequency is the frequency at which a parallel resonant circuit, composed of a capacitor and inductor, has the highest impedance and therefore experiences a resonance effect.

2. How is the parallel resonant circuit frequency calculated?

The parallel resonant circuit frequency can be calculated using the formula: fr = 1 / (2π√(LC)), where fr is the resonant frequency, L is the inductance in henries, and C is the capacitance in farads.

3. What is the significance of the parallel resonant circuit frequency?

The parallel resonant circuit frequency is significant because it is the frequency at which the circuit has the highest impedance. This means that at the resonant frequency, the circuit is most efficient at storing and transferring energy between the capacitor and inductor.

4. How does the parallel resonant circuit frequency affect the overall performance of a circuit?

The parallel resonant circuit frequency can have a significant impact on the overall performance of a circuit. It can determine the bandwidth of the circuit, influence its resonance stability, and affect its ability to filter out unwanted frequencies.

5. How can the parallel resonant circuit frequency be adjusted?

The parallel resonant circuit frequency can be adjusted by changing the values of the inductance and capacitance components. By increasing or decreasing these values, the resonant frequency can be shifted to a desired frequency. Additionally, the frequency can also be adjusted by changing the voltage or current in the circuit.

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