Calculating Inductance for 10kHz Capacitor

However, to produce a frequency near the middle of the audible range, the inductance and capacitance must create a resonant circuit with the desired frequency. The equation for this is 16pi^2/T^2 = 1/(LC), where T is the period of the desired frequency.
  • #1
greenday1260
4
0

Homework Statement



What inductance must be used with a 4.0 µF capacitor to produce a frequency of 10 kHz, which is near the middle of the audible range of frequencies?

Homework Equations



w = 2pi*f/C=1/(sqrt(T*C)) --->angular fequency
T= 1/f


The Attempt at a Solution


T= 2pi/w ------> w= 2pi/(T/8) = 1/(sqrt(LC))---->(16pi/T)^2=1/(LC)

This is a new topic for me. I'm not sure if I'm doing it right.
 
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  • #2
greenday1260 said:
What inductance must be used with a 4.0 µF capacitor to produce a frequency of 10 kHz, ...
An inductor with a capacitor does not necessarily produce a frequency, and the combination can undergo electromagnetic oscillations at any frequency.
 

1. What is inductance and why is it important in calculating for a 10kHz capacitor?

Inductance is a property of an electrical circuit that describes the ability of the circuit to store energy in the form of a magnetic field. It is important in calculating for a 10kHz capacitor because the inductance of a circuit can affect the overall impedance and resonance frequency of the circuit, which can impact the performance of the capacitor at 10kHz.

2. How is inductance calculated for a 10kHz capacitor?

Inductance for a 10kHz capacitor can be calculated using the formula L = (XC)^2 / (2πf)^2, where XC is the capacitive reactance and f is the frequency of the circuit. The capacitive reactance, in turn, can be calculated using the formula XC = 1 / (2πfC), where C is the capacitance of the capacitor.

3. What factors can affect the inductance of a 10kHz capacitor?

The inductance of a 10kHz capacitor can be affected by the physical properties of the capacitor, such as its size and shape, as well as the materials used in its construction. The frequency and resistance of the circuit can also impact the inductance of the capacitor.

4. How does inductance impact the performance of a 10kHz capacitor?

Inductance can impact the performance of a 10kHz capacitor by affecting the impedance and resonance frequency of the circuit. This can lead to changes in the capacitance and potential loss of energy, resulting in changes in the behavior of the capacitor at 10kHz.

5. Are there any limitations to calculating inductance for a 10kHz capacitor?

Yes, there are some limitations to calculating inductance for a 10kHz capacitor. The formulas used assume ideal conditions and may not accurately represent real-world scenarios. Additionally, factors such as stray capacitance and inductance in the circuit can also affect the accuracy of the calculated inductance value.

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