LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 9.7 µF capacitor to produce a frequency of 15 kHz, which is in the audible range of frequencies? Number i Units
LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 9.7 µF capacitor to produce a frequency of 15 kHz, which is in the audible range of frequencies? Number i Units
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![**LC Oscillators and Inductance Calculation for Auditory Frequencies**
LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 9.7 μF capacitor to produce a frequency of 15 kHz, which is in the audible range of frequencies?
**Interactive Calculation:**
- Number: [Input field]
- Units: [Dropdown menu]
**Instructions:**
To calculate the required inductance, use the formula for the resonant frequency of an LC circuit:
\[ f = \frac{1}{2\pi\sqrt{LC}} \]
Where:
- \( f \) is the frequency (15 kHz)
- \( L \) is the inductance
- \( C \) is the capacitance (9.7 μF)
Fill in the values to find the inductance necessary for creating a frequency in the audible range.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262da005-4088-4217-993b-d949ad68bd8b%2F9120e3a5-e3b9-4bd3-bae2-9eb598348c3a%2Fi4kkm5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**LC Oscillators and Inductance Calculation for Auditory Frequencies**
LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 9.7 μF capacitor to produce a frequency of 15 kHz, which is in the audible range of frequencies?
**Interactive Calculation:**
- Number: [Input field]
- Units: [Dropdown menu]
**Instructions:**
To calculate the required inductance, use the formula for the resonant frequency of an LC circuit:
\[ f = \frac{1}{2\pi\sqrt{LC}} \]
Where:
- \( f \) is the frequency (15 kHz)
- \( L \) is the inductance
- \( C \) is the capacitance (9.7 μF)
Fill in the values to find the inductance necessary for creating a frequency in the audible range.
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