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.
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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