Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

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 6.7 µF capacitor to produce a frequency of 10 kHz, which is near the middle of the audible range of frequencies?

The inductance to be used is $3.78 \times 10^{- 5} H$ , which is near the middle of the audible range of frequencies.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

The capacitance of the capacitor, $C = 6.7 μF$ .
The frequency that the capacitor will produce $f = 10 kHz or 10000 Hz$ .

Step 2: Understanding the concept of inductance

Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. By using the direct relationship between the frequency of inductance and the inductance, we can find the inductance.

Formulae:

The resonance frequency of an LC oscillation, $f = \frac{1}{2 π \sqrt{L C}}$ . (i)

Step 3: Calculation of the value of inductance

By using equation (i), we can find the inductance to be used having frequency near the middle of the audible range of frequencies as follows:

$\begin{array}{rcl} L & = & \frac{1}{{(2 π)}^{2} f^{2} C} \\ = & \frac{1}{{(2 π)}^{2} 10000^{2} \times 6.7 \times 10^{- 6}} \\ = & \frac{1}{{(2 π)}^{2} 10000^{2} \times 6.7 \times 10^{- 6}} \\ = & 3.78 \times 10^{- 5} H \end{array}$

Hence, the value of the inductance is $3.78 \times 10^{- 5} H$ .

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Fundamentals Of Physics

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Short Answer

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 6.7 µF capacitor to produce a frequency of 10 kHz, which is near the middle of the audible range of frequencies?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of inductance

Step 3: Calculation of the value of inductance

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Fundamentals Of Physics

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Short Answer

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 6.7 µF capacitor to produce a frequency of 10 kHz, which is near the middle of the audible range of frequencies?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of inductance

Step 3: Calculation of the value of inductance

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